4.6 Article

Collocation method for approximate solution of Volterra integro-differential equations of the third-kind

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APPLIED NUMERICAL MATHEMATICS
卷 150, 期 -, 页码 139-148

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ELSEVIER
DOI: 10.1016/j.apnum.2019.09.020

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Volterra integro-differential equations of the third-kind; Collocation method; Compact operators

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In this paper, we have adapted the collocation method for solving a special class of Volterra integro-differential equations of the third-kind. Structure of the method and its applicability for proposed equations have been presented. Moreover we have investigated the solvability and convergence analysis of the method. Also some numerical examples are provided to illustrate the theoretical results. (C) 2019 Published by Elsevier B.V. on behalf of IMACS.

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