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Numerical Solution of a Singularly Perturbed Volterra Integro-Differential Equation

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Date

2014

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Springer international Publishing Ag

Abstract

We study the convergence properties of a difference scheme for singularly perturbed Volterra integro-differential equations on a graded mesh. We show that the scheme is first-order convergent in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments are presented, which are in agreement with the theoretical results.

Description

Sevgin, Sebaheddin/0000-0002-2163-9896

Keywords

Singular Perturbation, Volterra Integro-Differential Equations, Difference Scheme, Uniform Convergence, Graded Mesh

Turkish CoHE Thesis Center URL

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Q1

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N/A

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