-
1
-
-
31144471057
-
The tan h method and a variable separated ODE method for solving double sine‐Gordon equation
-
1 A. M. Wazwaz, The tan h method and a variable separated ODE method for solving double sine‐Gordon equation, Phys Lett A 350 (2006), 367–370.
-
(2006)
Phys Lett A
, vol.350
, pp. 367-370
-
-
Wazwaz, A.M.1
-
2
-
-
50549175042
-
A model unified field equation
-
2 J. K. Perring and T. H. Skyrme, A model unified field equation, Nucl Phys 31 (1962), 550–555.
-
(1962)
Nucl Phys
, vol.31
, pp. 550-555
-
-
Perring, J.K.1
Skyrme, T.H.2
-
3
-
-
0004181419
-
Linear and nonlinear waves
-
3 G. B. Whitham, Linear and nonlinear waves, Wiley‐Interscience, New York, NY, 1999.
-
(1999)
-
-
Whitham, G.B.1
-
4
-
-
0030413750
-
The solution of the sine‐Gordon equation using the method of lines
-
4 A. G. Bratsos and E. H. Twizell, The solution of the sine‐Gordon equation using the method of lines, Int J Computer Math 61 (1996), 271–292.
-
(1996)
Int J Computer Math
, vol.61
, pp. 271-292
-
-
Bratsos, A.G.1
Twizell, E.H.2
-
5
-
-
35448960877
-
Numerical solution of the Klein–Gordon equation via He's variational iteration method
-
5 F. Shakeri and M. Dehghan, Numerical solution of the Klein–Gordon equation via He's variational iteration method, Nonlinear Dyn 51 (2008), 89–97.
-
(2008)
Nonlinear Dyn
, vol.51
, pp. 89-97
-
-
Shakeri, F.1
Dehghan, M.2
-
6
-
-
0001997591
-
Numerical solution of the sine‐Gordon equation
-
6 B. Y. Guo, P. J. Pascual, M. J. Rodriguez, and L. Vázquez, Numerical solution of the sine‐Gordon equation, Appl Math Comput 18 (1986), 1–14.
-
(1986)
Appl Math Comput
, vol.18
, pp. 1-14
-
-
Guo, B.Y.1
Pascual, P.J.2
Rodriguez, M.J.3
Vázquez, L.4
-
7
-
-
44949267045
-
Two classes of finite‐difference methods for generalized sine‐Gordon equations
-
7 J. Kuang and L. Lu, Two classes of finite‐difference methods for generalized sine‐Gordon equations, J Comput Appl Math 31 (1990), 389–396.
-
(1990)
J Comput Appl Math
, vol.31
, pp. 389-396
-
-
Kuang, J.1
Lu, L.2
-
8
-
-
0001167255
-
Numerical homoclinic instabilities in the sine‐Gordon equation
-
8 B. M. Herbst and M. J. Ablowitz, Numerical homoclinic instabilities in the sine‐Gordon equation, Quaest Math 15 (1992), 345–363.
-
(1992)
Quaest Math
, vol.15
, pp. 345-363
-
-
Herbst, B.M.1
Ablowitz, M.J.2
-
9
-
-
0003757328
-
A family of parametric finite‐difference methods for the solution of the sine‐Gordon equation
-
9 A. G. Bratsos and E. H. Twizell, A family of parametric finite‐difference methods for the solution of the sine‐Gordon equation, Appl Math Comput 93 (1998), 117–137.
-
(1998)
Appl Math Comput
, vol.93
, pp. 117-137
-
-
Bratsos, A.G.1
Twizell, E.H.2
-
10
-
-
16144366227
-
On the numerical solution of the sine‐Gordon equation, I. Integrable discretizations and homoclinic manifolds
-
10 M. J. Ablowitz, B. M. Herbst, and C. M. Schober, On the numerical solution of the sine‐Gordon equation, I. Integrable discretizations and homoclinic manifolds, J Comput Phys 126 (1996), 299–314.
-
(1996)
J Comput Phys
, vol.126
, pp. 299-314
-
-
Ablowitz, M.J.1
Herbst, B.M.2
Schober, C.M.3
-
11
-
-
0039176497
-
On the numerical solution of the sine‐Gordon equation, II. Performance of numerical schemes
-
11 M. J. Ablowitz, B. M. Herbst, and C. M. Schober, On the numerical solution of the sine‐Gordon equation, II. Performance of numerical schemes, J Comput Phys 131 (1997), 354–367.
-
(1997)
J Comput Phys
, vol.131
, pp. 354-367
-
-
Ablowitz, M.J.1
Herbst, B.M.2
Schober, C.M.3
-
12
-
-
0347945239
-
Discrete singular convolution for the sine‐Gordon equation
-
12 G. W. Wei, Discrete singular convolution for the sine‐Gordon equation, Physica D 137 (2000), 247–259.
-
(2000)
Physica D
, vol.137
, pp. 247-259
-
-
Wei, G.W.1
-
13
-
-
0034923589
-
Symplectic computation of solitary waves for general sine‐Gordon equations
-
13 X. Lu, Symplectic computation of solitary waves for general sine‐Gordon equations, Math Comput Simul 55 (2001), 519–532.
-
(2001)
Math Comput Simul
, vol.55
, pp. 519-532
-
-
Lu, X.1
-
14
-
-
27144491934
-
Exact solutions for the generalized sine‐Gordon and the generalized sinh‐Gordon equations
-
14 A. M. Wazwaz, Exact solutions for the generalized sine‐Gordon and the generalized sinh‐Gordon equations, Chaos, Solitons and Fractals 28 (2006), 127–135.
-
(2006)
Chaos, Solitons and Fractals
, vol.28
, pp. 127-135
-
-
Wazwaz, A.M.1
-
15
-
-
85120592008
-
A numerical method for one‐dimensional nonlinear sine‐Gordon equation using collocation and radial basis functions
-
15 M. Dehghan and A. Shokri, A numerical method for one‐dimensional nonlinear sine‐Gordon equation using collocation and radial basis functions, Numer Methods Partial Differential Equations, to appear.
-
Numer Methods Partial Differential Equations, to appear.
-
-
Dehghan, M.1
Shokri, A.2
-
16
-
-
35349016929
-
Numerical solution of sine‐Gordon equation by variational iteration method
-
16 B. Batiha, M. S. M. Noorani, and I. Hashim, Numerical solution of sine‐Gordon equation by variational iteration method, Phys Lett A 370 (2007), 437–440.
-
(2007)
Phys Lett A
, vol.370
, pp. 437-440
-
-
Batiha, B.1
Noorani, M.S.M.2
Hashim, I.3
-
17
-
-
85120589878
-
Application of He's variational iteration method for solving the Cauchy reaction‐diffusion problem
-
17 M. Dehghan and F. Shakeri, Application of He's variational iteration method for solving the Cauchy reaction‐diffusion problem, J Comput Appl Math, to appear.
-
J Comput Appl Math, to appear.
-
-
Dehghan, M.1
Shakeri, F.2
-
18
-
-
0001329612
-
Numerical solutions of 2 + 1 dimensional sine‐Gordon solitons
-
18 P. L. Christiansen and P. S. Lomdahl, Numerical solutions of 2 + 1 dimensional sine‐Gordon solitons, Physica D: Nonlinear phenomena 2 (1981), 482–494.
-
(1981)
Physica D: Nonlinear phenomena
, vol.2
, pp. 482-494
-
-
Christiansen, P.L.1
Lomdahl, P.S.2
-
19
-
-
0026124767
-
Finite element approximation to two‐dimensional sine‐Gordon solitons
-
19 J. Argyris, M. Haase, and J. C. Heinrich, Finite element approximation to two‐dimensional sine‐Gordon solitons, Comput Methods Appl Mech Eng 86 (1991), 1–26.
-
(1991)
Comput Methods Appl Mech Eng
, vol.86
, pp. 1-26
-
-
Argyris, J.1
Haase, M.2
Heinrich, J.C.3
-
20
-
-
18144406135
-
Numerical simulation of two‐dimensional sine‐Gordon solitons via a split cosine scheme
-
20 Q. Sheng, A. Q. M. Khaliq, and D. A. Voss, Numerical simulation of two‐dimensional sine‐Gordon solitons via a split cosine scheme, Math Comput Simul 68 (2005), 355–373.
-
(2005)
Math Comput Simul
, vol.68
, pp. 355-373
-
-
Sheng, Q.1
Khaliq, A.Q.M.2
Voss, D.A.3
-
21
-
-
33847382284
-
An explicit numerical scheme for the sine‐Gordon equation in 2+1 dimensions
-
21 A. G. Bratsos, An explicit numerical scheme for the sine‐Gordon equation in 2+1 dimensions, Appl Numer Anal Comput Math 2 (2005), 189–211.
-
(2005)
Appl Numer Anal Comput Math
, vol.2
, pp. 189-211
-
-
Bratsos, A.G.1
-
22
-
-
0029332275
-
Numerical solutions of a damped sine‐Gordon equation in two space variables
-
22 K. Djidjeli, W. G. Price, and E. H. Twizell, Numerical solutions of a damped sine‐Gordon equation in two space variables, J Eng Math 29 (1995), 347–369.
-
(1995)
J Eng Math
, vol.29
, pp. 347-369
-
-
Djidjeli, K.1
Price, W.G.2
Twizell, E.H.3
-
23
-
-
33847407493
-
A modified predictor‐corrector scheme for the two‐dimensional sine‐Gordon equation
-
23 A. G. Bratsos, A modified predictor‐corrector scheme for the two‐dimensional sine‐Gordon equation, Numer Algor 43 (2006), 295–308.
-
(2006)
Numer Algor
, vol.43
, pp. 295-308
-
-
Bratsos, A.G.1
-
24
-
-
34249277434
-
The solution of the two‐dimensional sine‐Gordon equation using the method of lines
-
24 A. G. Bratsos, The solution of the two‐dimensional sine‐Gordon equation using the method of lines, J Comput Appl Math 206 (2007), 251–277.
-
(2007)
J Comput Appl Math
, vol.206
, pp. 251-277
-
-
Bratsos, A.G.1
-
25
-
-
35748982165
-
A third order numerical scheme for the two‐dimensional sine‐Gordon equation
-
25 A. G. Bratsos, A third order numerical scheme for the two‐dimensional sine‐Gordon equation, Math Comput Simul 76 (2007), 271–282.
-
(2007)
Math Comput Simul
, vol.76
, pp. 271-282
-
-
Bratsos, A.G.1
-
26
-
-
36048991845
-
The dual reciprocity boundary element method (DRBEM) for two‐dimensional sine‐Gordon equation
-
26 M. Dehghan and D. Mirzaei, The dual reciprocity boundary element method (DRBEM) for two‐dimensional sine‐Gordon equation, Comput Methods Appl Mech Eng 197 (2008), 476–486.
-
(2008)
Comput Methods Appl Mech Eng
, vol.197
, pp. 476-486
-
-
Dehghan, M.1
Mirzaei, D.2
-
27
-
-
0001578881
-
Dynamic analysis in solid mechanics by an alternative boundary element procedure
-
27 C. A. Brebbia and D. Nardini, Dynamic analysis in solid mechanics by an alternative boundary element procedure, Int J Soil Dynamics Earthquake Eng 2 (1983), 228–233.
-
(1983)
Int J Soil Dynamics Earthquake Eng
, vol.2
, pp. 228-233
-
-
Brebbia, C.A.1
Nardini, D.2
-
28
-
-
0003048395
-
The dual reciprocity boundary element method for the Helmholtz equation, in: Proceedings of the International Boundary Elements Symposium, Berlin
-
28 P. W. Partridge and C. A. Brebbia, The dual reciprocity boundary element method for the Helmholtz equation, in: Proceedings of the International Boundary Elements Symposium, Berlin, C. A. Brebbia and A. Choudouet‐Miranda, editors, Computational Mechanics Publications/Springer,( 1990), pp. 543–555.
-
(1990)
, pp. 543-555
-
-
Partridge, P.W.1
Brebbia, C.A.2
-
29
-
-
0002847155
-
Radial basis function approximation in dual reciprocity method
-
29 S. R. Karur and P. A. Ramachandran, Radial basis function approximation in dual reciprocity method, Math Comput Model 20 (1994), 59–70.
-
(1994)
Math Comput Model
, vol.20
, pp. 59-70
-
-
Karur, S.R.1
Ramachandran, P.A.2
-
30
-
-
33744510547
-
A numerical method for the wave equation subject to a non‐local conservation condition
-
30 W. T. Ang, A numerical method for the wave equation subject to a non‐local conservation condition, Appl Numer Math 56 (2006), 1054–1060.
-
(2006)
Appl Numer Math
, vol.56
, pp. 1054-1060
-
-
Ang, W.T.1
-
31
-
-
0032042502
-
Dual reciprocity boundary element analysis of time‐independent Burger's equation
-
31 E. Chino and N. Tosaka, Dual reciprocity boundary element analysis of time‐independent Burger's equation, Eng Anal Bound Elem 21 (1998), 261–270.
-
(1998)
Eng Anal Bound Elem
, vol.21
, pp. 261-270
-
-
Chino, E.1
Tosaka, N.2
-
32
-
-
11144275388
-
On the solution of an initial‐boundary value problem that combines Neumann and integral condition for the wave equation
-
32 M. Dehghan, On the solution of an initial‐boundary value problem that combines Neumann and integral condition for the wave equation, Numer Methods Partial Differential Equations 21 (2005), 24–40.
-
(2005)
Numer Methods Partial Differential Equations
, vol.21
, pp. 24-40
-
-
Dehghan, M.1
-
33
-
-
19744375661
-
Parameter determination in a partial differential equation from the overspecified data
-
33 M. Dehghan, Parameter determination in a partial differential equation from the overspecified data, Math Comput Model 41 (2005), 196–213.
-
(2005)
Math Comput Model
, vol.41
, pp. 196-213
-
-
Dehghan, M.1
-
34
-
-
18744412104
-
Identification of a time‐dependent coefficient in a partial differential equation subject to an extra measurement
-
34 M. Dehghan, Identification of a time‐dependent coefficient in a partial differential equation subject to an extra measurement, Numer Methods Partial Differential Equations 21 (2005), 611–622.
-
(2005)
Numer Methods Partial Differential Equations
, vol.21
, pp. 611-622
-
-
Dehghan, M.1
-
35
-
-
33748938323
-
Implicit collocation technique for heat equation with non‐classic initial condition
-
35 M. Dehghan, Implicit collocation technique for heat equation with non‐classic initial condition, Int J Non‐Linear Sci Numer Simul 7 (2006), 447–450.
-
(2006)
Int J Non‐Linear Sci Numer Simul
, vol.7
, pp. 447-450
-
-
Dehghan, M.1
-
36
-
-
33645276878
-
A computational study of the one‐dimensional parabolic equation subject to nonclassical boundary specifications
-
36 M. Dehghan, A computational study of the one‐dimensional parabolic equation subject to nonclassical boundary specifications, Numer Methods Partial Differential Equations 22 (2006), 220–257.
-
(2006)
Numer Methods Partial Differential Equations
, vol.22
, pp. 220-257
-
-
Dehghan, M.1
-
37
-
-
33749559910
-
The one‐dimensional heat equation subject to a boundary integral specification
-
37 M. Dehghan, The one‐dimensional heat equation subject to a boundary integral specification, Chaos, Solitons and Fractals 32 (2007), 661–675.
-
(2007)
Chaos, Solitons and Fractals
, vol.32
, pp. 661-675
-
-
Dehghan, M.1
-
38
-
-
34548359104
-
A numerical method for KdV equation using collocation and radial basis functions
-
38 M. Dehghan and A. Shokri, A numerical method for KdV equation using collocation and radial basis functions, Nonlinear Dynam 50 (2007), 111–120.
-
(2007)
Nonlinear Dynam
, vol.50
, pp. 111-120
-
-
Dehghan, M.1
Shokri, A.2
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