-
1
-
-
33750339270
-
The application of the homotopy analysis method to nonlinear equations arising in heat transfer
-
S. Abbasbandy, The application of the homotopy analysis method to nonlinear equations arising in heat transfer, Phys. Lett. A 360 (2006), pp. 109-113.
-
(2006)
Phys. Lett. A
, vol.360
, pp. 109-113
-
-
Abbasbandy, S.1
-
2
-
-
0016985760
-
Nonlinear stochastic differential equations
-
G. Adomian, Nonlinear stochastic differential equations, J. Math. Anal. Appl. 55(1) (1976), pp. 443-452.
-
(1976)
J. Math. Anal. Appl.
, vol.55
, Issue.1
, pp. 443-452
-
-
Adomian, G.1
-
3
-
-
0041185368
-
A review of the decomposition method in applied mathematics
-
G. Adomian, A review of the decomposition method in applied mathematics, J. Math. Anal. Appl. 135 (1988), pp. 501-544.
-
(1988)
J. Math. Anal. Appl.
, vol.135
, pp. 501-544
-
-
Adomian, G.1
-
4
-
-
33646073123
-
A note on the differenece schemes for hyperbolic-elliptic equations
-
14816
-
A.Ashyralyev, G. Judakova, and P.E. Sobolevskii,A note on the differenece schemes for hyperbolic-elliptic equations, Abs. Appl. Anal. 14816 (2006), pp. 1-13.
-
(2006)
Abs. Appl. Anal.
, pp. 1-13
-
-
Ashyralyev, A.1
Judakova, G.2
Sobolevskii, P.E.3
-
5
-
-
0003460117
-
-
Springer-Verlag, Heidelberg
-
J. Awrejcewicz, I.V. Andrianov, and L.I. Manevitch, Asymptotic Approaches in Nonlinear Dynamics: New Trends and Applications, Springer-Verlag, Heidelberg, 1998.
-
(1998)
Asymptotic Approaches in Nonlinear Dynamics: New Trends and Applications
-
-
Awrejcewicz, J.1
Andrianov, I.V.2
Manevitch, L.I.3
-
6
-
-
34249826970
-
A numerical algorithm for the solution of telegraph equation
-
M.S. El-Azab and M. El-Glamel, A numerical algorithm for the solution of telegraph equation, Appl. Math. Comput. 190 (2007), pp. 757-764.
-
(2007)
Appl. Math. Comput.
, vol.190
, pp. 757-764
-
-
El-Azab, M.S.1
El-Glamel, M.2
-
7
-
-
40749145329
-
Generalized hyperbolic fractional equation for transient-wave propagation in layered rigid-frame porous materials
-
M. Fellah, Z.E.A. Fellah, and C. Depollier, Generalized hyperbolic fractional equation for transient-wave propagation in layered rigid-frame porous materials, Phys. Rev. E 77 (2008), p. 016601-5.
-
(2008)
Phys. Rev. E
, vol.77
, pp. 016601-5
-
-
Fellah, M.1
Fellah, Z.E.A.2
Depollier, C.3
-
8
-
-
34247184613
-
Unconditionally stable difference scheme for a one-space dimensional linear hyperbolic equation
-
F. Gao and C. Chi, Unconditionally stable difference scheme for a one-space dimensional linear hyperbolic equation, Appl. Math. Comput. 187 (2007), pp. 1272-1276.
-
(2007)
Appl. Math. Comput.
, vol.187
, pp. 1272-1276
-
-
Gao, F.1
Chi, C.2
-
9
-
-
44049116564
-
Fractional diffusion equation for transport phenomena in random media
-
M. Giona and H.E. Roman, Fractional diffusion equation for transport phenomena in random media, PhysicaA 185 (1992), pp. 87-97.
-
(1992)
PhysicaA
, vol.185
, pp. 87-97
-
-
Giona, M.1
Roman, H.E.2
-
10
-
-
2442526691
-
Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid
-
T. Hayat, M. Khan, and S. Asghar, Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid, Acta Mech. 168 (2004), pp. 213-232.
-
(2004)
Acta Mech.
, vol.168
, pp. 213-232
-
-
Hayat, T.1
Khan, M.2
Asghar, S.3
-
11
-
-
0032672778
-
Homotopy perturbation technique
-
J.H. He, Homotopy perturbation technique, Comput. Methods Appl. Mech. Eng. 178 (1999), pp. 257-262.
-
(1999)
Comput. Methods Appl. Mech. Eng.
, vol.178
, pp. 257-262
-
-
He, J.H.1
-
12
-
-
0033702384
-
A coupling method of homotopy technique and perturbation technique for nonlinear problems
-
J.H. He, A coupling method of homotopy technique and perturbation technique for nonlinear problems, Int. J. Nonlinear Mech. 35 (2000), pp. 37-43.
-
(2000)
Int. J. Nonlinear Mech.
, vol.35
, pp. 37-43
-
-
He, J.H.1
-
13
-
-
0012885756
-
-
Mashinostroyenie, Moscow
-
A.V. Karmishin, A.T. Zhukov, and V.G. Kolosov, Methods of Dynamics Calculation and Testing for Thin-walled Structures (in Russian), Mashinostroyenie, Moscow, 1990.
-
(1990)
Methods of Dynamics Calculation and Testing for Thin-walled Structures (In Russian)
-
-
Karmishin, A.V.1
Zhukov, A.T.2
Kolosov, V.G.3
-
14
-
-
79251475398
-
Nonlocal problem for the hyperbolic equation with fractional derivatives in the boundary condition
-
A.A. Kilbas, O.A. Repin, and M. Saigo, Nonlocal problem for the hyperbolic equation with fractional derivatives in the boundary condition, Fukuoka Univ. Sci. Rep. 33(2) (2003), pp. 1-8.
-
(2003)
Fukuoka Univ. Sci. Rep.
, vol.33
, Issue.2
, pp. 1-8
-
-
Kilbas, A.A.1
Repin, O.A.2
Saigo, M.3
-
15
-
-
25144466532
-
Nonexistence of global solutions to a hyperbolic equation with a space time fractional damping
-
M. Kirane and Y. Laskri, Nonexistence of global solutions to a hyperbolic equation with a space time fractional damping, Appl. Math. Comput. 167 (2005), pp. 1304-1310.
-
(2005)
Appl. Math. Comput.
, vol.167
, pp. 1304-1310
-
-
Kirane, M.1
Laskri, Y.2
-
16
-
-
34548013884
-
Hyperbolic and fractional hyperbolic Brownian motion
-
L. Lao and E. Orsingher, Hyperbolic and fractional hyperbolic Brownian motion, Int. J. Probab. Stoch. Process. 79(6) (2007), pp. 505-522.
-
(2007)
Int. J. Probab. Stoch. Process.
, vol.79
, Issue.6
, pp. 505-522
-
-
Lao, L.1
Orsingher, E.2
-
17
-
-
67349162538
-
Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation
-
S.X. Liang and D.J. Jeffrey, Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation, Commun. Nonlinear Sci. Numer. Simul. 14 (2009), pp. 4057-4064.
-
(2009)
Commun. Nonlinear Sci. Numer. Simul.
, vol.14
, pp. 4057-4064
-
-
Liang, S.X.1
Jeffrey, D.J.2
-
19
-
-
0031232480
-
A kind of approximate solution technique which does not depend upon small parameters (II): An application in fluid mechanics
-
S.J. Liao,A kind of approximate solution technique which does not depend upon small parameters (II): An application in fluid mechanics, Int. J. Nonlinear Mech. 32 (1997), pp. 815-822.
-
(1997)
Int. J. Nonlinear Mech.
, vol.32
, pp. 815-822
-
-
Liao, S.J.1
-
20
-
-
0032640240
-
A uniformly valid analytic solution of 2D viscous flow past a semi-infinite flat plate
-
S.J. Liao, A uniformly valid analytic solution of 2D viscous flow past a semi-infinite flat plate, J. Fluid Mech. 385 (1999), pp. 101-128.
-
(1999)
J. Fluid Mech.
, vol.385
, pp. 101-128
-
-
Liao, S.J.1
-
22
-
-
0141961626
-
On the homotopy analysis method for nonlinear problems
-
S.J. Liao, On the homotopy analysis method for nonlinear problems, Appl. Math. Comput. 147 (2004), pp. 499-513.
-
(2004)
Appl. Math. Comput.
, vol.147
, pp. 499-513
-
-
Liao, S.J.1
-
23
-
-
26844487797
-
An analytical solution of unsteady boundary layer flows caused by an impulsively stretching plate
-
S.J. Liao,An analytical solution of unsteady boundary layer flows caused by an impulsively stretching plate,Commun. Nonlinear Sci. Numer. Simul. 11(3) (2006), pp. 326-339.
-
(2006)
Commun. Nonlinear Sci. Numer. Simul.
, vol.11
, Issue.3
, pp. 326-339
-
-
Liao, S.J.1
-
24
-
-
85196187892
-
An optimal homotopy analysis approach for strongly nonlinear differential equations
-
in press. doi: 10.16/j.cnsns.2009. 09.002
-
S.J. Liao, An optimal homotopy analysis approach for strongly nonlinear differential equations, Commn. Nonlinear Sci. Numer Simul. (2010), in press. doi: 10.16/j.cnsns.2009. 09.002.
-
(2010)
Commn. Nonlinear Sci. Numer Simul.
-
-
Liao, S.J.1
-
26
-
-
84897913178
-
Robustness of the rescaled range and the measurement of the long run statistical dependence
-
B.B. Mandelbrot and J.R.Wallis, Robustness of the rescaled range and the measurement of the long run statistical dependence,Water Res. Res. 5 (1969), pp. 967-988.
-
(1969)
Water Res. Res.
, vol.5
, pp. 967-988
-
-
Mandelbrot, B.B.1
Wallis, J.R.2
-
27
-
-
50849102362
-
High order compact solution of the one dimensional linear hyperbolic equation
-
A. Mohebbi and M. Dehaghan, High order compact solution of the one dimensional linear hyperbolic equation, Numer. Method Partial Diff. Equ. 24 (2008), pp. 1122-1135.
-
(2008)
Numer. Method Partial Diff. Equ.
, vol.24
, pp. 1122-1135
-
-
Mohebbi, A.1
Dehaghan, M.2
-
28
-
-
25844510578
-
Solving solitary waves with discontinuity by means of the homotopy analysis method
-
W. Wu and S.J. Liao, Solving solitary waves with discontinuity by means of the homotopy analysis method, Chaos Solitons Fractals 23 (2004), pp. 1733-1740.
-
(2004)
Chaos Solitons Fractals
, vol.23
, pp. 1733-1740
-
-
Wu, W.1
Liao, S.J.2
-
29
-
-
77951865153
-
Legendre multi wavelet Galerkin method for solving the hyperbolic telegraph equation
-
S.A.Yousefi, Legendre multi wavelet Galerkin method for solving the hyperbolic telegraph equation, Numer.Method Partial Diff. Equ. 26 (2010), pp. 535-543.
-
(2010)
Numer.Method Partial Diff. Equ.
, vol.26
, pp. 535-543
-
-
Yousefi, S.A.1
|