Numerical solution of nonlinear Volterra-Fredholm integro-differential equations

Authors:
P. Darania;K. Ivaz
Affiliations:
Department of Mathematics and Computer Science, University of Tabriz, Tabriz, Iran;Department of Mathematics and Computer Science, University of Tabriz, Tabriz, Iran
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 3
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Abstract

The aim of this paper is to present an efficient analytical and numerical procedure for solving the high-order nonlinear Volterra-Fredholm integro-differential equations. Our method depends mainly on a Taylor expansion approach. This method transforms the integro-differential equation and the given conditions into the matrix equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.