Volume 4 Number 2 (Mar. 2014)
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IJAPM 2014 Vol.4(2): 121-125 ISSN: 2010-362X
DOI: 10.7763/IJAPM.2014.V4.267

Lubich-Collocation Method for Solving a System of Nonlinear Integral Equations of Convolution Type

Reza Zolfaghari
Abstract—Lubich convolution quadrature formulas have the fundamental property of not using explicitly the expression of the kernel of the integral equation they are applied to, which is instead replaced by that of its Laplace transform, usually given by a simple analytic function. In this paper, the Lubichcollocation procedure was successfully employed to reduce a system of nonlinear Volterra integral equations with convolution kernels to a system of algebraic equations. An example is considered to illustrate the ability of the proposed method.

Index Terms—Nonlinear integral equation, Convolution kernel, Lubich quadrature.

R. Zolfaghari is with the Department of Computer Science in Salman Farsi University of Kazerun, Iran (e-mail: zolfaghari@kazerunsfu.ac.ir).

 

Cite: Reza Zolfaghari, "Lubich-Collocation Method for Solving a System of Nonlinear Integral Equations of Convolution Type," International Journal of Applied Physics and Mathematics vol. 4, no. 2, pp. 121-125, 2014.

General Information

ISSN: 2010-362X
Frequency: Bimonthly (2011-2014); Quarterly (Since 2015)
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca
Abstracting/ Indexing: Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Electronic Journals Library, Engineering & Technology Digital Library, Nanowerk Database, Google Scholar and ProQuest
E-mail: ijapm@iap.org
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