Numerical Solution of a Singularly Perturbed Volterra Integro-Differential Equation
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Date
2014
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Publisher
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
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Keywords
Singular Perturbation, Volterra Integro-Differential Equations, Difference Scheme, Uniform Convergence, Graded Mesh
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Q1
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N/A