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.


65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
Full Text: DOI


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