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Collocation Methods for A Class of Volterra Integral Functional Equations with Multiple Proportional Delays

Published online by Cambridge University Press:  03 June 2015

Kai Zhang  and
Jie Li
Kai Zhang*
Affiliation:
Department of Mathematics, Jilin University, Changchun, Jilin 130023, China
Jie Li*
Affiliation:
Department of Mathematics, Jilin University, Changchun, Jilin 130023, China
*
Corresponding author. Email: kzhang@jlu.edu.cn
Email: lijie09@mails.jlu.edu.cn
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Abstract

In this paper, we apply the collocation methods to a class of Volterra integral functional equations with multiple proportional delays (VIFEMPDs). We shall present the existence, uniqueness and regularity properties of analytic solutions for this type of equations, and then analyze the convergence orders of the collocation solutions and give corresponding error estimates. The numerical results verify our theoretical analysis.

Keywords

65R2034K0634K28Volterra integral functional equationmultiple proportional delayscollocation method
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 5 , October 2012 , pp. 575 - 602
Copyright
Copyright © Global-Science Press 2012

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