Modified Camassa-Holm and Degasperis-Procesi Equations Solved by Adomian's Decomposition Method and Comparison with HPM and Exact Solutions

被引：17

作者：

Ganji, D. D. ^{[1
]}

Sadeghi, E. M. M. ^{[1
]}

Rahmat, M. G. ^{[1
]}

机构：

[1] Babol Univ Technol, Dept Mech Engn, Babol Sar, Iran

来源：

ACTA APPLICANDAE MATHEMATICAE | 2008年 / 104卷 / 03期

关键词：

Modified Camassa-Holm equation; Modified Degasperis-Procesi equation; Adomian's decomposition method (ADM); Homotopy perturbation method (HPM);

D O I：

10.1007/s10440-008-9258-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Many physical and scientific phenomena are modeled by nonlinear partial differential equations (NPDEs); it is difficult to handle nonlinear part of these equations. Recently some analytical methods are applied to solve such equations. In this work, modified Camassa-Holm and Degasperis-Procesi equation is studied. Adomian's decomposition method (ADM) is applied to obtain solution of this equation. The results are compared to those of homotopy perturbation method (HPM) and exact solution. The study highlights the significant features of the employed method and its ability to handle nonlinear partial differential equations.

引用

收藏

页码：303 / 311

页数：9

相关论文

共 32 条

[1] Further accuracy tests on Adomian decomposition method for chaotic systems [J].

Abdulaziz, O. ;

Noor, N. F. M. ;

Hashim, I. ;

Noorani, M. S. M. .

CHAOS SOLITONS & FRACTALS, 2008, 36 (05) :1405-1411

[2] Solutions of nonlinear PDE [J].

Adomian, G .

APPLIED MATHEMATICS LETTERS, 1998, 11 (03) :121-123

[3] SOLUTION OF PHYSICAL PROBLEMS BY DECOMPOSITION [J].

ADOMIAN, G .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 27 (9-10) :145-154

[4] A REVIEW OF THE DECOMPOSITION METHOD AND SOME RECENT RESULTS FOR NONLINEAR EQUATIONS [J].

ADOMIAN, G .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 21 (05) :101-127

[5] Exact solutions for the generalized Klein-Gordon equation via a transformation and Exp-function method and comparison with Adomian's method [J].

Ebaid, A. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 223 (01) :278-290

[6] An approximation of the analytical solution of the Jeffery-Hamel flow by decomposition method [J].

Esmaili, Q. ;

Ramiar, A. ;

Alizadeh, E. ;

Ganji, D. D. .

PHYSICS LETTERS A, 2008, 372 (19) :3434-3439

[7] Application of He's methods to nonlinear chemistry problems [J].

Ganji, D. D. ;

Nourollahi, M. ;

Mohseni, E. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) :1122-1132

[8] Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations [J].

Ganji, D. D. ;

Sadighi, A. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :24-34

[9] Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM [J].

Ganji, D. D. ;

Jannatabadi, M. ;

Mohseni, E. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :35-45

[10] Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method [J].

Ganji, D. D. ;

Rafei, M. .

PHYSICS LETTERS A, 2006, 356 (02) :131-137

← 1 2 3 4 →