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Legendre Collocation Method for Volterra Integro-Differential Algebraic Equation

Yunxia Wei, Yanping Chen and Yunqing Huang

Abstract

In this work we study the numerical solution to the Volterra integro-differential algebraic equation. Two numerical examples based on the Legendre collocation scheme are designed. It follows from the convergence proof and numerical experiments that the errors of the approximate solution and the errors of the approximate derivative of the solution decay exponentially.

MSC 2010: 65R20; 45J05

Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: 11671157

Award Identifier / Grant number: 91430213

Funding source: Shandong Province

Award Identifier / Grant number: ZR2017MA005

Funding statement: This work is supported by National Natural Science Foundation of China (11671157, 91430213) and Shandong Province Natural Science Foundation of China (ZR2017MA005).

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Received: 2017-10-01
Revised: 2018-06-01
Accepted: 2018-06-05
Published Online: 2018-06-21
Published in Print: 2019-10-01

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