Convergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delay
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In this paper, the initial value problem for a quasilinear singularly perturbed delay Volterra integro-differential equation was considered. By the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with the weight and remainder term in integral form, a fitted difference scheme is constructed and analysed. It is shown that the method displays first order uniform convergence in perturbation parameter. Some numerical results are given to confirm the theoretical analysis. (C) 2019 Elsevier B.V. All rights reserved.
Description
Yapman, Omer/0000-0003-3117-2932
WOS: 000463302400022
WOS: 000463302400022
Keywords
Finite difference method, Volterra delay-integro-differential equation, Singular perturbation, Uniform convergence
Journal or Series
Journal Of Computational And Applied Mathematics
WoS Q Value
Q1
Scopus Q Value
Q2
Volume
355
