Decomposition method for solving nonlinear integro-differential equations

Kamel Al-Khaled; Fathi Allan

doi:10.1007/BF02935815

Decomposition method for solving nonlinear integro-differential equations

Kamel Al-Khaled, Fathi Allan

Department of Mathematical Sciences

Research output: Contribution to journal › Review article › peer-review

25 Citations (Scopus)

Abstract

This paper outlines a reliable strategy for solving nonlinear Volterra-Fredholm integro-differential equations. The modified form of Adomian decomposition method is found to be fast and accurate. Numerical examples are presented to illustrate the accuracy of the method.

Original language	English
Pages (from-to)	415-425
Number of pages	11
Journal	Journal of Applied Mathematics and Computing
Volume	19
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02935815
Publication status	Published - Sept 2005

Keywords

Decomposition method
Integral equations (numerical methods)
Integro-differential equations
Nonlinear Volterra-Fredholm equations

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/BF02935815

Cite this

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title = "Decomposition method for solving nonlinear integro-differential equations",

abstract = "This paper outlines a reliable strategy for solving nonlinear Volterra-Fredholm integro-differential equations. The modified form of Adomian decomposition method is found to be fast and accurate. Numerical examples are presented to illustrate the accuracy of the method.",

keywords = "Decomposition method, Integral equations (numerical methods), Integro-differential equations, Nonlinear Volterra-Fredholm equations",

author = "Kamel Al-Khaled and Fathi Allan",

year = "2005",

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doi = "10.1007/BF02935815",

language = "English",

volume = "19",

pages = "415--425",

journal = "Journal of Applied Mathematics and Computing",

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T1 - Decomposition method for solving nonlinear integro-differential equations

AU - Al-Khaled, Kamel

AU - Allan, Fathi

PY - 2005/9

Y1 - 2005/9

N2 - This paper outlines a reliable strategy for solving nonlinear Volterra-Fredholm integro-differential equations. The modified form of Adomian decomposition method is found to be fast and accurate. Numerical examples are presented to illustrate the accuracy of the method.

AB - This paper outlines a reliable strategy for solving nonlinear Volterra-Fredholm integro-differential equations. The modified form of Adomian decomposition method is found to be fast and accurate. Numerical examples are presented to illustrate the accuracy of the method.

KW - Decomposition method

KW - Integral equations (numerical methods)

KW - Integro-differential equations

KW - Nonlinear Volterra-Fredholm equations

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U2 - 10.1007/BF02935815

DO - 10.1007/BF02935815

M3 - Review article

AN - SCOPUS:25144491603

SN - 1598-5865

VL - 19

SP - 415

EP - 425

JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 1-2

ER -

Decomposition method for solving nonlinear integro-differential equations

Abstract

Keywords

ASJC Scopus subject areas

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