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A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay

Published online by Cambridge University Press:  03 June 2015

Weishan Zheng and
Yanping Chen
Weishan Zheng*
Affiliation:
School of Mathematics sciences, South China Normal University, Guangzhou 510631, Guangdong, China
Yanping Chen*
Affiliation:
School of Mathematics sciences, South China Normal University, Guangzhou 510631, Guangdong, China
*
Email: weishanzheng@yeah.net
Corresponding author. URL: http://math.xtu.edu.cn/myphp/math/ypchen/index.htm, Email: yanpingchen@scnu.edu.cn
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Abstract

In this paper, a Legendre-collocation spectral method is developed for the second order Volterra integro-differential equation with pantograph delay. We provide a rigorous error analysis for the proposed method. The spectral rate of convergence for the proposed method is established in both L2-norm and L∞-norm.

Keywords

65R2034K28Legendre-spectral methodsecond order Volterra integro-differential equationpantograph delayerror analysis

Information

Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 2 , April 2013, pp. 131 - 145
Copyright
Copyright © Global-Science Press 2013

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