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

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
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References:

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