Rationalized Haar functions method for solving Fredholm and Volterra integral equations

Authors:
M. H. Reihani;Z. Abadi
Affiliations:
Islamic Azad University of Yazd, Yazd, Iran;Islamic Azad University of Yazd, Yazd, Iran
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 1
Cited 2

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Hybrid function method for solving Fredholm and Volterra integral equations of the second kind

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New algorithms for the numerical solution of nonlinear Fredholm and Volterra integral equations using Haar wavelets

Journal of Computational and Applied Mathematics

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Abstract

This paper presents a computational technique for Fredholm integral equation of the second kind and Volterra integral equation of the second kind. The method is based upon Haar functions approximation. Properties of Rationalized Haar functions are first presented, the operational matrix of integration together with product operational matrix and Newton-Cotes nodes are utilized to reduce the computation of integral equations into some algebraic equations. The method is computationally attractive and applications are demonstrated through illustrative examples.