A Novel Computational Method For Solving Nonlinear Volterra Integro Differential Equation

Authors

DOI:

https://doi.org/10.48129/kjs.v48i1.9386

Keywords:

Error Estimate, Finite Difference Method, Volterra Integro Differential Equation

Abstract

In this paper, we study quasilinear Volterra integro-differential equations (VIDEs). Asymptotic estimates are made for the solution of VIDE. Finite difference scheme which is accomplished by the method of integral identities with using of interpolating quadrature rules with weight functions and remainder term in integral form is presented for the VIDE. Error estimates are carried out according to the discrete maximum norm. It is given an effective quasilinearization technique for solving nonlinear VIDE. The theoretical results are performed on numerical examples.

Author Biography

Baransel GUNES, Van Yuzuncu Yil University

Department of Mathematics

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Published

2020-12-23