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Turkish Journal of Mathematics

Abstract

The aim of this paper is to establish conditions for the existence and uniqueness of the solution of a nonlinear integro-differential equation. Moreover, it is to propose a quadrature method in order to find an approximate solution and establish the convergence of the method. We conclude by providing the algorithm and some numerical simulation to confirm our theoretical results.

DOI

10.3906/mat-2108-72

Keywords

Nonlinear integro-differential equation, existence and uniqueness, Gauss-Kronrod, quadrature method, backward difference

First Page

675

Last Page

687

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