Decomposition method for solving nonlinear integro-differential equations

Kamel Al-Khaled, Fathi Allan

Research output: Contribution to journalArticle

13 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 languageEnglish
Pages (from-to)415-425
Number of pages11
JournalJournal of Applied Mathematics and Computing
Volume19
Issue number1-2
Publication statusPublished - Sep 2005

Fingerprint

Fredholm Equation
Nonlinear Integro-differential Equations
Integrodifferential equations
Adomian Decomposition Method
Volterra
Decomposition Method
Integro-differential Equation
Decomposition
Numerical Examples
Strategy
Form

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

Cite this

Decomposition method for solving nonlinear integro-differential equations. / Al-Khaled, Kamel; Allan, Fathi.

In: Journal of Applied Mathematics and Computing, Vol. 19, No. 1-2, 09.2005, p. 415-425.

Research output: Contribution to journalArticle

Al-Khaled, Kamel ; Allan, Fathi. / Decomposition method for solving nonlinear integro-differential equations. In: Journal of Applied Mathematics and Computing. 2005 ; Vol. 19, No. 1-2. pp. 415-425.
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