Adomian decomposition method for approximating the solution of the Korteweg-deVries equation

Muhammed I. Syam

doi:10.1016/j.amc.2004.03.021

Adomian decomposition method for approximating the solution of the Korteweg-deVries equation

Muhammed I. Syam

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

In this paper, the Adomian decomposition method for solving the nonlinear Korteweg-deVries equation is implemented with appropriate initial conditions. We discuss the case when the problem has either one or more solitons. Some numerical examples are presented.

Original language	English
Pages (from-to)	1465-1473
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	162
Issue number	3
DOIs	https://doi.org/10.1016/j.amc.2004.03.021
Publication status	Published - Mar 25 2005

Keywords

Adomian decomposition method
Adomian polynomials
Initial value problem
Korteweg-deVries equation

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2004.03.021

Cite this

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title = "Adomian decomposition method for approximating the solution of the Korteweg-deVries equation",

abstract = "In this paper, the Adomian decomposition method for solving the nonlinear Korteweg-deVries equation is implemented with appropriate initial conditions. We discuss the case when the problem has either one or more solitons. Some numerical examples are presented.",

keywords = "Adomian decomposition method, Adomian polynomials, Initial value problem, Korteweg-deVries equation",

author = "Syam, \{Muhammed I.\}",

year = "2005",

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AU - Syam, Muhammed I.

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N2 - In this paper, the Adomian decomposition method for solving the nonlinear Korteweg-deVries equation is implemented with appropriate initial conditions. We discuss the case when the problem has either one or more solitons. Some numerical examples are presented.

AB - In this paper, the Adomian decomposition method for solving the nonlinear Korteweg-deVries equation is implemented with appropriate initial conditions. We discuss the case when the problem has either one or more solitons. Some numerical examples are presented.

KW - Adomian decomposition method

KW - Adomian polynomials

KW - Initial value problem

KW - Korteweg-deVries equation

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UR - https://www.scopus.com/pages/publications/12244305591#tab=citedBy

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M3 - Article

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SP - 1465

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 3

ER -

Adomian decomposition method for approximating the solution of the Korteweg-deVries equation

Abstract

Keywords

ASJC Scopus subject areas

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