-
1
-
-
85120589222
-
-
1 http://encyclopedia.thefreedictionary.com.
-
-
-
-
2
-
-
0037380208
-
Painlevé equations‐nonlinear special functions
-
2 P. A. Clarkson, Painlevé equations‐nonlinear special functions, J Comput Appl Math 153 ( 2003), 127 ‐ 140.
-
(2003)
J Comput Appl Math
, vol.153
, pp. 127-140
-
-
Clarkson, P.A.1
-
3
-
-
14844357950
-
Special polynomials associated with rational solutions of the fifth Painlevé equation
-
3 P. A. Clarkson, Special polynomials associated with rational solutions of the fifth Painlevé equation, J Comput Appl Math 178 ( 2005), 111–129.
-
(2005)
J Comput Appl Math
, vol.178
, pp. 111-129
-
-
Clarkson, P.A.1
-
4
-
-
2442598836
-
Painlevé differential equations in the complex plane, de Gruyter Studies in Mathematics 28
-
4 V. I. Gromak, I. Laine, and S. Shimomura, Painlevé differential equations in the complex plane, de Gruyter Studies in Mathematics 28, Walter de Gruyter Berlin, New York, 2002.
-
(2002)
-
-
Gromak, V.I.1
Laine, I.2
Shimomura, S.3
-
5
-
-
0000732496
-
Exact linearization of a Painlevé transcendent
-
5 M. J. Ablowitz and H. Segur, Exact linearization of a Painlevé transcendent, Phys Rev Lett 38 ( 1997), 1103–1106.
-
(1997)
Phys Rev Lett
, vol.38
, pp. 1103-1106
-
-
Ablowitz, M.J.1
Segur, H.2
-
6
-
-
51249186911
-
Nonlinear Schrödinger equation, Bäcklund transformation and Painlevé transcendents
-
6 M. Boiti and F. Pempinelli, Nonlinear Schrödinger equation, Bäcklund transformation and Painlevé transcendents, Nuovo Cimento Soc Ital Fis B 59 ( 1980), 40–58.
-
(1980)
Nuovo Cimento Soc Ital Fis B
, vol.59
, pp. 40-58
-
-
Boiti, M.1
Pempinelli, F.2
-
7
-
-
33646520831
-
Discriminants of Umemura polynomials associated to Painlevé III
-
7 T. Amdeberhan, Discriminants of Umemura polynomials associated to Painlevé III, Phys Lett A 354 ( 2006), 410–413.
-
(2006)
Phys Lett A
, vol.354
, pp. 410-413
-
-
Amdeberhan, T.1
-
8
-
-
0037080397
-
New contiguity relation of the sixth Painlevé equation from a truncation
-
8 R. Conte and M. Musette, New contiguity relation of the sixth Painlevé equation from a truncation, Physica D 161 ( 2002), 129–141.
-
(2002)
Physica D
, vol.161
, pp. 129-141
-
-
Conte, R.1
Musette, M.2
-
9
-
-
33748556567
-
Power and non‐power expansions of the solutions for the fourth‐order analogue to the second Painlevé equation
-
9 M. V. Demina and N. A. Kudryashov, Power and non‐power expansions of the solutions for the fourth‐order analogue to the second Painlevé equation, Chaos, Solitons and Fractals 32 ( 2007), 124–144.
-
(2007)
Chaos, Solitons and Fractals
, vol.32
, pp. 124-144
-
-
Demina, M.V.1
Kudryashov, N.A.2
-
10
-
-
0041577427
-
The first and second Painlevé equations of higher order and some relations between them
-
10 N. A. Kudryashov, The first and second Painlevé equations of higher order and some relations between them, Phys Lett A 224 ( 1997), 353–360.
-
(1997)
Phys Lett A
, vol.224
, pp. 353-360
-
-
Kudryashov, N.A.1
-
11
-
-
33847022297
-
Special polynomials associated with the fourth order analogue to the Painleve equations
-
11 N. A. Kudryashov and M. V. Demina, Special polynomials associated with the fourth order analogue to the Painleve equations, Phys Lett A 363 ( 2007), 346–355.
-
(2007)
Phys Lett A
, vol.363
, pp. 346-355
-
-
Kudryashov, N.A.1
Demina, M.V.2
-
12
-
-
0035873519
-
Level spacing functions and connection formulas for Painlevé V transcendent
-
12 V. Y. Novokshenov, Level spacing functions and connection formulas for Painlevé V transcendent, Physica D 152/153 ( 2001), 225–231.
-
(2001)
Physica D
, vol.152/153
, pp. 225-231
-
-
Novokshenov, V.Y.1
-
13
-
-
2342488024
-
Positive, unbounded and monotone solutions of the singular second Painlevé equation on the half‐line
-
13 P. K. Palamides and G. N. Galanis, Positive, unbounded and monotone solutions of the singular second Painlevé equation on the half‐line, Nonlinear Anal 57 ( 2004), 401–419.
-
(2004)
Nonlinear Anal
, vol.57
, pp. 401-419
-
-
Palamides, P.K.1
Galanis, G.N.2
-
14
-
-
0008151656
-
On a Painlevé II Model in Steady Electrolysis: application of a Bäcklund transformation
-
14 C. Rogers, A. P. Bassom, and W. K. Schief, On a Painlevé II Model in Steady Electrolysis: application of a Bäcklund transformation, J Math Anal Appl 240 ( 1999), 367–381.
-
(1999)
J Math Anal Appl
, vol.240
, pp. 367-381
-
-
Rogers, C.1
Bassom, A.P.2
Schief, W.K.3
-
15
-
-
0035876623
-
On a class of special solutions of the Painlevé equations
-
15 T. Tamizhmani, B. Grammaticos, A. Ramani, and K. M. Tamizhmani, On a class of special solutions of the Painlevé equations, Physica A 295 ( 2001), 359–370.
-
(2001)
Physica A
, vol.295
, pp. 359-370
-
-
Tamizhmani, T.1
Grammaticos, B.2
Ramani, A.3
Tamizhmani, K.M.4
-
16
-
-
0008117890
-
The second Painlevé equation as a model for the electric field in a semiconductor
-
16 N. A. Kudryashov, The second Painlevé equation as a model for the electric field in a semiconductor, Phys Lett A 233 ( 1997), 397–400.
-
(1997)
Phys Lett A
, vol.233
, pp. 397-400
-
-
Kudryashov, N.A.1
-
17
-
-
32644435892
-
Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
-
17 M. Dehghan, Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices, Mathematics and Computers in Simulation 71 ( 2006), 16–30.
-
(2006)
Mathematics and Computers in Simulation
, vol.71
, pp. 16-30
-
-
Dehghan, M.1
-
18
-
-
0004083804
-
Solving frontier problems of physics: the decomposition method
-
18 G. Adomian, Solving frontier problems of physics: the decomposition method, Kluwer Academic Publisher, Dordrecht, 1994.
-
(1994)
-
-
Adomian, G.1
-
19
-
-
33947181839
-
Application of the decomposition method to the solution of the reaction convection diffusion equation
-
19 E. Yee, Application of the decomposition method to the solution of the reaction convection diffusion equation, Appl Math Comput 56 ( 1993), 1–27.
-
(1993)
Appl Math Comput
, vol.56
, pp. 1-27
-
-
Yee, E.1
-
20
-
-
27944476819
-
Numerical solution of Laplace equation in a disk using the Adomian decomposition method
-
20 M. Tatari and M. Dehghan, Numerical solution of Laplace equation in a disk using the Adomian decomposition method, Phys Scripta 72 ( 2005), 345–348.
-
(2005)
Phys Scripta
, vol.72
, pp. 345-348
-
-
Tatari, M.1
Dehghan, M.2
-
21
-
-
27644504642
-
Blow‐up solutions obtained using the decomposition method
-
21 D. Lesnic, Blow‐up solutions obtained using the decomposition method, Chaos, Solitons and Fractals 28 ( 2006), 776–787.
-
(2006)
Chaos, Solitons and Fractals
, vol.28
, pp. 776-787
-
-
Lesnic, D.1
-
22
-
-
34248373867
-
Solving a multi‐order fractional differential equation using Adomian decomposition
-
22 V. Daftardar‐Gejji and H. Jafari, Solving a multi‐order fractional differential equation using Adomian decomposition, Appl Math Comput 189 ( 2007), 541–548.
-
(2007)
Appl Math Comput
, vol.189
, pp. 541-548
-
-
Daftardar‐Gejji, V.1
Jafari, H.2
-
23
-
-
27744501241
-
Adomian decomposition method for solving Burgers' equation with fractional derivative
-
23 M. El‐Shahed, Adomian decomposition method for solving Burgers' equation with fractional derivative, J Fract Calc 24 ( 2003), 23–28.
-
(2003)
J Fract Calc
, vol.24
, pp. 23-28
-
-
El‐Shahed, M.1
-
24
-
-
33746022675
-
Decomposition method for the Camassa‐Holm equation
-
24 J. Sadefo Kamdem and Z. Qiao, Decomposition method for the Camassa‐Holm equation, Chaos, Solitons and Fractals 31 ( 2007), 437–447.
-
(2007)
Chaos, Solitons and Fractals
, vol.31
, pp. 437-447
-
-
Sadefo Kamdem, J.1
Qiao, Z.2
-
25
-
-
0036018150
-
Approximation of the solution for a class of first order P.D.E. by Adomian method
-
25 S. Khelifa and Y. Cherruault, Approximation of the solution for a class of first order P.D.E. by Adomian method, Kybernetes 31 ( 2002), 577–595.
-
(2002)
Kybernetes
, vol.31
, pp. 577-595
-
-
Khelifa, S.1
Cherruault, Y.2
-
26
-
-
33751540614
-
Modified decomposition solution of linear and nonlinear boundary‐value problems
-
26 G. Adomian and R. Rach, Modified decomposition solution of linear and nonlinear boundary‐value problems, Nonlinear Anal 23 ( 1994), 615–619.
-
(1994)
Nonlinear Anal
, vol.23
, pp. 615-619
-
-
Adomian, G.1
Rach, R.2
-
27
-
-
0005248526
-
The modified Adomian decomposition method for solving linear and nonlinear boundary value problems of tenth‐order and twelfth‐order
-
27 A. M. Wazwaz, The modified Adomian decomposition method for solving linear and nonlinear boundary value problems of tenth‐order and twelfth‐order, Int J Nonlinear Sci Numer Simul 1 ( 2000), 17–24.
-
(2000)
Int J Nonlinear Sci Numer Simul
, vol.1
, pp. 17-24
-
-
Wazwaz, A.M.1
-
28
-
-
5844385426
-
A modification of Adomian's decomposition method for boundary value problems with homogeneous boundary conditions
-
28 S. Venkatarangan and T. Sivakumar, A modification of Adomian's decomposition method for boundary value problems with homogeneous boundary conditions, J Math Phys Sci 24 ( 1990), 19–25.
-
(1990)
J Math Phys Sci
, vol.24
, pp. 19-25
-
-
Venkatarangan, S.1
Sivakumar, T.2
-
29
-
-
30244534437
-
Application of Adomian's approximations to the Navier‐Stokes equations in cylindrical coordinates
-
29 K. Haldar, Application of Adomian's approximations to the Navier‐Stokes equations in cylindrical coordinates, Appl Math Lett 9 ( 1996), 109–113.
-
(1996)
Appl Math Lett
, vol.9
, pp. 109-113
-
-
Haldar, K.1
-
30
-
-
0036664536
-
The use of Adomian decomposition method for solving a specific nonlinear partial differential equations
-
30 D. Kaya, The use of Adomian decomposition method for solving a specific nonlinear partial differential equations, Bull Belg Math Soc Simon Stevin 9 ( 2002), 343–349.
-
(2002)
Bull Belg Math Soc Simon Stevin
, vol.9
, pp. 343-349
-
-
Kaya, D.1
-
31
-
-
33751529463
-
Padé approximants and Adomian decomposition method for solving the Flierl‐Petviashivili equation and its variants
-
31 A. M. Wazwaz, Padé approximants and Adomian decomposition method for solving the Flierl‐Petviashivili equation and its variants, Appl Math Comput 182 ( 2006), 1812–1818.
-
(2006)
Appl Math Comput
, vol.182
, pp. 1812-1818
-
-
Wazwaz, A.M.1
-
32
-
-
0036377380
-
Application of the decomposition method to thermal stresses in isotropic circular fins with temperature‐dependent thermal conductivity
-
32 C. H. Chiu and C. K. Chen, Application of the decomposition method to thermal stresses in isotropic circular fins with temperature‐dependent thermal conductivity, Acta Mechanica 157 ( 2002), 147–158.
-
(2002)
Acta Mechanica
, vol.157
, pp. 147-158
-
-
Chiu, C.H.1
Chen, C.K.2
-
33
-
-
33745500728
-
The use of Adomian decomposition method for solving problems in calculus of variations
-
33 M. Dehghan and M. Tatari, The use of Adomian decomposition method for solving problems in calculus of variations, Math Problems Eng 2006 ( 2006), 1–12.
-
(2006)
Math Problems Eng
, vol.2006
, pp. 1-12
-
-
Dehghan, M.1
Tatari, M.2
-
34
-
-
33846625552
-
A nonlinear reaction‐diffusion process using the Adomian decomposition method
-
34 D. Lesnic, A nonlinear reaction‐diffusion process using the Adomian decomposition method, Int Commun Heat Mass Transfer 34 ( 2007), 129–135.
-
(2007)
Int Commun Heat Mass Transfer
, vol.34
, pp. 129-135
-
-
Lesnic, D.1
-
35
-
-
27244450755
-
A decomposition method for a semilinear boundary value problem with a quadratic nonlinearity
-
35 M. S. Gordon, A decomposition method for a semilinear boundary value problem with a quadratic nonlinearity, International Journal of Mathematics and Mathematical Sciences 6 ( 2005), 855–861.
-
(2005)
International Journal of Mathematics and Mathematical Sciences
, vol.6
, pp. 855-861
-
-
Gordon, M.S.1
-
36
-
-
20444445089
-
Analytical solution for the time‐dependent Emden‐Fowler type of equations by Adomian decomposition method
-
36 A. M. Wazwaz, Analytical solution for the time‐dependent Emden‐Fowler type of equations by Adomian decomposition method, Appl Math Comput 166 ( 2005), 638–651.
-
(2005)
Appl Math Comput
, vol.166
, pp. 638-651
-
-
Wazwaz, A.M.1
-
37
-
-
11144265907
-
Decomposition methods for non‐linear, non‐characteristic Cauchy heat problems
-
37 D. Lesnic, Decomposition methods for non‐linear, non‐characteristic Cauchy heat problems, Commun Nonlinear Sci Numer Simulat 10 ( 2005), 581–596.
-
(2005)
Commun Nonlinear Sci Numer Simulat
, vol.10
, pp. 581-596
-
-
Lesnic, D.1
-
38
-
-
0037107899
-
A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
-
38 D. Kaya and A. Yokus, A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations, Math Comput Simul 60 ( 2002), 507–512.
-
(2002)
Math Comput Simul
, vol.60
, pp. 507-512
-
-
Kaya, D.1
Yokus, A.2
-
39
-
-
4544348370
-
Numerical comparison of methods for solving parabolic equations
-
39 K. Al‐Khaled, D. Kaya, and M. Noor, Numerical comparison of methods for solving parabolic equations, Appl Math Comput 157 ( 2004), 735–743.
-
(2004)
Appl Math Comput
, vol.157
, pp. 735-743
-
-
Al‐Khaled, K.1
Kaya, D.2
Noor, M.3
-
40
-
-
0037609542
-
An analytical study on the third‐order dispersive partial differential equation
-
40 A. M. Wazwaz, An analytical study on the third‐order dispersive partial differential equation, Appl Math Comput 142 ( 2003), 511–520.
-
(2003)
Appl Math Comput
, vol.142
, pp. 511-520
-
-
Wazwaz, A.M.1
-
41
-
-
29744443299
-
Solution of a parabolic equation with a time‐dependent coefficient and an extra measurement using the decomposition procedure of Adomian
-
41 M. Dehghan and M. Tatari, Solution of a parabolic equation with a time‐dependent coefficient and an extra measurement using the decomposition procedure of Adomian, Phys Scr 72 ( 2005), 425–431.
-
(2005)
Phys Scr
, vol.72
, pp. 425-431
-
-
Dehghan, M.1
Tatari, M.2
-
42
-
-
33751525090
-
Application of the Adomian decomposition method for the Fokker‐Planck equation
-
42 M. Tatari, M. Dehghan, and M. Razzaghi, Application of the Adomian decomposition method for the Fokker‐Planck equation, Math Comput Model 45 ( 2007), 639–650.
-
(2007)
Math Comput Model
, vol.45
, pp. 639-650
-
-
Tatari, M.1
Dehghan, M.2
Razzaghi, M.3
-
43
-
-
85120587066
-
An analytical method for determination of the performance of a fin assembly under dehumidifying conditions: a comparative study
-
43 B. Kundu and A. Miyara, An analytical method for determination of the performance of a fin assembly under dehumidifying conditions: a comparative study, Int J Refrigeration, in press, Corrected proof, Available on line 8 April 2008.
-
Int J Refrigeration
-
-
Kundu, B.1
Miyara, A.2
-
44
-
-
48849095659
-
A decomposition method for solving the periodic base temperature in convective longitudinal fins
-
44 Y. T. Yang, S. K. Chien, and C. K. Chen, A decomposition method for solving the periodic base temperature in convective longitudinal fins, Energy Conversion and Management 49 ( 2008), 2910–2916.
-
(2008)
Energy Conversion and Management
, vol.49
, pp. 2910-2916
-
-
Yang, Y.T.1
Chien, S.K.2
Chen, C.K.3
-
45
-
-
55549144324
-
A weighted algorithm based on Adomian decomposition method for solving a special class of evolution equations
-
45 A. Shidfar and M. Garshasbi, A weighted algorithm based on Adomian decomposition method for solving a special class of evolution equations, Commun Nonlinear Sci Numer Simulat 14 ( 2009), 1146–1151.
-
(2009)
Commun Nonlinear Sci Numer Simulat
, vol.14
, pp. 1146-1151
-
-
Shidfar, A.1
Garshasbi, M.2
-
46
-
-
58149468214
-
The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics
-
46 M. Dehghan and F. Shakeri, The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics, Physica Scripta 78 (2008).
-
(2008)
Physica Scripta
, vol.78
-
-
Dehghan, M.1
Shakeri, F.2
-
47
-
-
34249337378
-
The solution of coupled Burgers' equations using Adomian‐Pade technique
-
47 M. Dehghan, A. Hamidi, and M. Shakourifar, The solution of coupled Burgers' equations using Adomian‐Pade technique, Appl Math Comput 189 ( 2007), 1034–1047.
-
(2007)
Appl Math Comput
, vol.189
, pp. 1034-1047
-
-
Dehghan, M.1
Hamidi, A.2
Shakourifar, M.3
-
48
-
-
34248208547
-
Solution of a semilinear parabolic equation with an unknown control function using the decomposition procedure of Adomian
-
48 M. Dehghan and M. Tatari, Solution of a semilinear parabolic equation with an unknown control function using the decomposition procedure of Adomian, Numer Methods Partial Differential Eq 23 ( 2007), 499–510.
-
(2007)
Numer Methods Partial Differential Eq
, vol.23
, pp. 499-510
-
-
Dehghan, M.1
Tatari, M.2
-
49
-
-
84970868898
-
Convergence of Adomian's method
-
49 Y. Cherruault, Convergence of Adomian's method, Kybernetes 18 ( 1989), 31–38.
-
(1989)
Kybernetes
, vol.18
, pp. 31-38
-
-
Cherruault, Y.1
-
50
-
-
0036376269
-
Improvement of convergence of Adomian's method using Padé approximants
-
50 M. Chrysos, F. Sanchez, and Y. Cherruault, Improvement of convergence of Adomian's method using Padé approximants, Kybernetes 31 ( 2002), 884–895.
-
(2002)
Kybernetes
, vol.31
, pp. 884-895
-
-
Chrysos, M.1
Sanchez, F.2
Cherruault, Y.3
-
51
-
-
0033240054
-
New results of convergence of Adomian's method
-
51 N. Himoun, K. Abbaoui, and Y. Cherruault, New results of convergence of Adomian's method, Kybernetes 10 ( 1999), 423–429.
-
(1999)
Kybernetes
, vol.10
, pp. 423-429
-
-
Himoun, N.1
Abbaoui, K.2
Cherruault, Y.3
-
52
-
-
0032672778
-
Homotopy perturbation technique
-
52 J. H. He, Homotopy perturbation technique, Comput Methods Appl Mech Eng 178 ( 1999), 257–262.
-
(1999)
Comput Methods Appl Mech Eng
, vol.178
, pp. 257-262
-
-
He, J.H.1
-
53
-
-
0033702384
-
A coupling method of a homotopy technique and a perturbation technique for non‐linear problems
-
53 J. H. He, A coupling method of a homotopy technique and a perturbation technique for non‐linear problems, Internat. J. Non‐linear Mech. 35 ( 2000), 37–43.
-
(2000)
Internat. J. Non‐linear Mech.
, vol.35
, pp. 37-43
-
-
He, J.H.1
-
54
-
-
0037440579
-
Homotopy perturbation method: a new nonlinear analytical technique
-
54 J. H. He, Homotopy perturbation method: a new nonlinear analytical technique, Appl Math Comput 135 ( 2003), 73–79.
-
(2003)
Appl Math Comput
, vol.135
, pp. 73-79
-
-
He, J.H.1
-
55
-
-
18844426016
-
Application of homotopy perturbation method to nonlinear wave equations
-
55 J. H. He, Application of homotopy perturbation method to nonlinear wave equations, Chaos Solitons Fractals 26 ( 2005), 695–700.
-
(2005)
Chaos Solitons Fractals
, vol.26
, pp. 695-700
-
-
He, J.H.1
-
56
-
-
30644460357
-
Homotopy perturbation method for solving boundary value problems
-
56 J. H. He, Homotopy perturbation method for solving boundary value problems, Physics Letters A 350 ( 2006), 87–88.
-
(2006)
Physics Letters A
, vol.350
, pp. 87-88
-
-
He, J.H.1
-
57
-
-
35248884030
-
Homotopy perturbation method for fractional KdV‐Burgers equation
-
57 Q. Wang, Homotopy perturbation method for fractional KdV‐Burgers equation, Chaos, Solitons and Fractals 35 ( 2008), 843–856.
-
(2008)
Chaos, Solitons and Fractals
, vol.35
, pp. 843-856
-
-
Wang, Q.1
-
58
-
-
33745244211
-
Solitary wave solutions for a generalized Hirota‐Satsuma coupled KdV equation by homotopy perturbation method
-
58 D. D. Ganji and M. Rafei, Solitary wave solutions for a generalized Hirota‐Satsuma coupled KdV equation by homotopy perturbation method, Phys Lett A 356 ( 2006), 131–137.
-
(2006)
Phys Lett A
, vol.356
, pp. 131-137
-
-
Ganji, D.D.1
Rafei, M.2
-
59
-
-
33745852188
-
Homotopy perturbation method for pure nonlinear differential equation
-
59 L. Cveticanin, Homotopy perturbation method for pure nonlinear differential equation, Chaos, Solitons and Fractals 30 ( 2006), 1221–1230.
-
(2006)
Chaos, Solitons and Fractals
, vol.30
, pp. 1221-1230
-
-
Cveticanin, L.1
-
60
-
-
34248227819
-
Application of He's homotopy perturbation method to nonlinear integro‐differential equations
-
60 M. Ghasemi, M. Tavassoli Kajani, and E. Babolian, Application of He's homotopy perturbation method to nonlinear integro‐differential equations, Appl Math Comput 188 ( 2007), 538–548.
-
(2007)
Appl Math Comput
, vol.188
, pp. 538-548
-
-
Ghasemi, M.1
Tavassoli Kajani, M.2
Babolian, E.3
-
61
-
-
34250636701
-
Application of homotopy‐perturbation and variational iteration methods to nonlinear heat transfer and porous media equations
-
61 D. D. Ganji and A. Sadighi, Application of homotopy‐perturbation and variational iteration methods to nonlinear heat transfer and porous media equations, J Comput Appl Math 207 ( 2007), 24–34.
-
(2007)
J Comput Appl Math
, vol.207
, pp. 24-34
-
-
Ganji, D.D.1
Sadighi, A.2
-
62
-
-
38949209076
-
High‐order approximate solutions to the relativistic and Duffing‐harmonic oscillators by modified He's homotopy methods
-
62 A. Belendez, C. Pascual, E. Fernandez, C. Neipp, and T. Belendez, High‐order approximate solutions to the relativistic and Duffing‐harmonic oscillators by modified He's homotopy methods, Phys Scr 77 ( 2008), 1–14.
-
(2008)
Phys Scr
, vol.77
, pp. 1-14
-
-
Belendez, A.1
Pascual, C.2
Fernandez, E.3
Neipp, C.4
Belendez, T.5
-
63
-
-
34247260021
-
Application of the homotopy perturbation method to the nonlinear pendulum
-
63 A. Belendez, A. Hernandez, T. Belendez, C. Neipp, and A. Marquez, Application of the homotopy perturbation method to the nonlinear pendulum, Eur J Phys 28 ( 2007), 93–104.
-
(2007)
Eur J Phys
, vol.28
, pp. 93-104
-
-
Belendez, A.1
Hernandez, A.2
Belendez, T.3
Neipp, C.4
Marquez, A.5
-
64
-
-
35748957246
-
Application of He's homotopy perturbation method to the relativistic (An)harmonic oscillatot. I. Computation between approximate and exact frequencies
-
64 A. Belendez, C. Pascual, A. Marquez, and D. I. Mendez, Application of He's homotopy perturbation method to the relativistic (An)harmonic oscillatot. I. Computation between approximate and exact frequencies, Int J Nonlinear Sci Numer Simul 8 ( 2007), 483–491.
-
(2007)
Int J Nonlinear Sci Numer Simul
, vol.8
, pp. 483-491
-
-
Belendez, A.1
Pascual, C.2
Marquez, A.3
Mendez, D.I.4
-
65
-
-
38149090283
-
Solution of an integro‐differential equation arising in oscillating magnetic fileds using He's homotopy perturbation method
-
65 M. Dehghan and F. Shakeri, Solution of an integro‐differential equation arising in oscillating magnetic fileds using He's homotopy perturbation method, Progr Electromagn Res 78 ( 2008), 361–376.
-
(2008)
Progr Electromagn Res
, vol.78
, pp. 361-376
-
-
Dehghan, M.1
Shakeri, F.2
-
66
-
-
34347219776
-
Inverse problem of diffusion equation by He's homotopy perturbation method
-
66 F. Shakeri and M. Dehghan, Inverse problem of diffusion equation by He's homotopy perturbation method, Phys Scripta 75 ( 2007), 551–556.
-
(2007)
Phys Scripta
, vol.75
, pp. 551-556
-
-
Shakeri, F.1
Dehghan, M.2
-
67
-
-
44949134839
-
Solution of the delay differential equations via homotopy perturbation method
-
67 F. Shakeri and M. Dehghan, Solution of the delay differential equations via homotopy perturbation method, Math Comput Modelling 48 ( 2008), 486–498.
-
(2008)
Math Comput Modelling
, vol.48
, pp. 486-498
-
-
Shakeri, F.1
Dehghan, M.2
-
68
-
-
85120590625
-
Application of He's homotopy perturbation method for non‐linear system of second‐order boundary value probelms
-
68 A. Saadatmandi, M. Dehghan, and A. Eftekhari, Application of He's homotopy perturbation method for non‐linear system of second‐order boundary value probelms, Nonlinear Analysis, Real Word Applications, in press, Corrected proof, Available on line 4 March 2008.
-
Nonlinear Analysis, Real Word Applications
-
-
Saadatmandi, A.1
Dehghan, M.2
Eftekhari, A.3
-
69
-
-
46749125042
-
Use of He's homotpy perturbation method for solving a partial differential equation arising in modeling of flow in porous media
-
69 M. Dehghan and F. Shakeri, Use of He's homotpy perturbation method for solving a partial differential equation arising in modeling of flow in porous media, J Porous Media 11 ( 2008), 765–778.
-
(2008)
J Porous Media
, vol.11
, pp. 765-778
-
-
Dehghan, M.1
Shakeri, F.2
-
70
-
-
34249315091
-
Solution of a partial differential equation subject to temperature overspecification by He's homotopy perturbation method
-
70 M. Dehghan and F. Shakeri, Solution of a partial differential equation subject to temperature overspecification by He's homotopy perturbation method, Physica Scripta 75 ( 2007), 778–787.
-
(2007)
Physica Scripta
, vol.75
, pp. 778-787
-
-
Dehghan, M.1
Shakeri, F.2
-
71
-
-
77951241098
-
Solution of the differential‐algebraic equations via homotopy perturbation method and their engineering applications
-
71 F. Soltanian, M. Dehghan, and S. M. Karbassi, Solution of the differential‐algebraic equations via homotopy perturbation method and their engineering applications, Internat J Comput Math, in press ( 2008).
-
(2008)
Internat J Comput Math, in press
-
-
Soltanian, F.1
Dehghan, M.2
Karbassi, S.M.3
-
72
-
-
35448960877
-
Numerical solution of the Klein‐Gordon equation via He's variational iteration method
-
72 F. Shakeri and M. Dehghan, Numerical solution of the Klein‐Gordon equation via He's variational iteration method, Nonlinear Dynamics 51 ( 2008), 89–97.
-
(2008)
Nonlinear Dynamics
, vol.51
, pp. 89-97
-
-
Shakeri, F.1
Dehghan, M.2
-
73
-
-
35348829740
-
Identifying an unknown function in a parabolic equation with overspecified data via Hes variational iteration method
-
73 M. Dehghan and M. Tatari, Identifying an unknown function in a parabolic equation with overspecified data via Hes variational iteration method, Chaos, Solitons Fractals 36 ( 2008), 157–166.
-
(2008)
Chaos, Solitons Fractals
, vol.36
, pp. 157-166
-
-
Dehghan, M.1
Tatari, M.2
-
74
-
-
85162699057
-
Trigonometric interpolation of empirical and analytical functions
-
74 C. Lanczos, Trigonometric interpolation of empirical and analytical functions, J Math Phys 17 ( 1938), 123–199.
-
(1938)
J Math Phys
, vol.17
, pp. 123-199
-
-
Lanczos, C.1
-
75
-
-
0003398168
-
Applied analysis
-
75 C. Lanczos, Applied analysis, Prentice‐Hall, Englewood Cliffs, NJ, 1956.
-
(1956)
-
-
Lanczos, C.1
-
76
-
-
0003783929
-
The special functions and their approximations
-
76 Y. Luke, The special functions and their approximations, Vol. II, Academic Press, New York, 1969.
-
(1969)
, vol.II
-
-
Luke, Y.1
-
77
-
-
34247263187
-
Segmented Tau approximation for test neutral functional differential equations
-
77 L. F. Cordero and R. Escalante, Segmented Tau approximation for test neutral functional differential equations, Appl Math Comput 187 ( 2007), 725–740.
-
(2007)
Appl Math Comput
, vol.187
, pp. 725-740
-
-
Cordero, L.F.1
Escalante, R.2
-
78
-
-
33846930099
-
A tau method for the one‐dimensional parabolic inverse problem subject to temperature overspecification
-
78 M. Dehghan and A. Saadatmandi, A tau method for the one‐dimensional parabolic inverse problem subject to temperature overspecification, Comput Math Appl 52 ( 2006), 933–940.
-
(2006)
Comput Math Appl
, vol.52
, pp. 933-940
-
-
Dehghan, M.1
Saadatmandi, A.2
-
79
-
-
27544467500
-
Tau method treatment of a delayed negative feedback equation
-
79 H. G. Khajah, Tau method treatment of a delayed negative feedback equation, Comput Math Appl 49 ( 2005), 1767–1772.
-
(2005)
Comput Math Appl
, vol.49
, pp. 1767-1772
-
-
Khajah, H.G.1
-
80
-
-
0034237633
-
Tau method approximation of the Hubbell rectangular source integral
-
80 S. L. Kalla and H. G. Khajah, Tau method approximation of the Hubbell rectangular source integral, Radiat Phys Chem 59 ( 2000), 17–21.
-
(2000)
Radiat Phys Chem
, vol.59
, pp. 17-21
-
-
Kalla, S.L.1
Khajah, H.G.2
-
81
-
-
0033157757
-
Generic algorithms for solving O. D. E using the tau method with an error estimation
-
81 R. B. Adeniyi, O. O. Olugbara, and O. A. Taiwo, Generic algorithms for solving O. D. E using the tau method with an error estimation, Int J Comput Math 72 ( 1999), 63–80.
-
(1999)
Int J Comput Math
, vol.72
, pp. 63-80
-
-
Adeniyi, R.B.1
Olugbara, O.O.2
Taiwo, O.A.3
-
82
-
-
0039976316
-
The uniform convergence of the tau method for singularly perturbed problems
-
82 M. K. El‐Daou and E. L. Ortiz, The uniform convergence of the tau method for singularly perturbed problems, Appl Math Lett 10 ( 1997), 91–94.
-
(1997)
Appl Math Lett
, vol.10
, pp. 91-94
-
-
El‐Daou, M.K.1
Ortiz, E.L.2
-
83
-
-
0040140852
-
Legendre‐Tau approximations for LQR feedback control of acoustic pressure fields
-
83 H. T. Banks and F. Fakhroo, Legendre‐Tau approximations for LQR feedback control of acoustic pressure fields, J Math Syst Estimation Control 5 ( 1995), 1–34.
-
(1995)
J Math Syst Estimation Control
, vol.5
, pp. 1-34
-
-
Banks, H.T.1
Fakhroo, F.2
-
84
-
-
85025508515
-
Legendre versus Chebyshev polynomials, J. Miller, editors, Topics in numerical analysis
-
84 C. Lanczos, Legendre versus Chebyshev polynomials, J. Miller, editors, Topics in numerical analysis, Academic Press, New York, 1973.
-
(1973)
-
-
Lanczos, C.1
-
85
-
-
84979130254
-
An error analysis of the Tau method for a class of singularly perturbed problems for differential equations
-
85 E. Ortiz and A. P. N. Dinh, An error analysis of the Tau method for a class of singularly perturbed problems for differential equations, Math Methods Appl Sci 6 ( 1984), 457–466.
-
(1984)
Math Methods Appl Sci
, vol.6
, pp. 457-466
-
-
Ortiz, E.1
Dinh, A.P.N.2
-
86
-
-
0021852294
-
On the convergence of the Tau method for nonlinear differential equations of Riccati's type
-
86 E. Ortiz and A. P. N. Dinh, On the convergence of the Tau method for nonlinear differential equations of Riccati's type, Nonlinear Anal Theory Methods Appl 9 ( 1985), 53–60.
-
(1985)
Nonlinear Anal Theory Methods Appl
, vol.9
, pp. 53-60
-
-
Ortiz, E.1
Dinh, A.P.N.2
-
87
-
-
0003562886
-
Introduction to nonlinear differential and integral equations
-
87 H. T. Davis, Introduction to nonlinear differential and integral equations, Dover publication, New York, 1962.
-
(1962)
-
-
Davis, H.T.1
-
88
-
-
0003958744
-
Spectral Methods in Fluid Dynamics, Springer Series in Computational Physics
-
88 C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics, Springer Series in Computational Physics, Springer, Berlin, 1988.
-
(1988)
-
-
Canuto, C.1
Hussaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
|