Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays
Year: 2012
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 5 : pp. 575–602
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m11147
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 5 : pp. 575–602
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Volterra integral functional equation multiple proportional delays collocation method.