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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
Affiliation:
Department of Mathematics, Jilin University, Changchun, Jilin 130023, China
Jie Li
Affiliation:
Department of Mathematics, Jilin University, Changchun, Jilin 130023, China
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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.

Type
Research Article
Copyright
Copyright © Global-Science Press 2012

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References

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