Numerical solution of nonlinear Volterra-Fredholm integro-differential equations. (English) Zbl 1165.65404

Darania, P.; Ivaz, K.

Comput. Math. Appl. 56, No. 9, 2197-2209 (2008).

Summary: 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.

MSC:

65R20	Numerical methods for integral equations
45J05	Integro-ordinary differential equations

Keywords:

Taylor polynomials and series; Volterra and Fredholm integral equation; integro-differential equations

References:

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