Title

NUMERICAL SOLUTION OF FREDHOLM INTEGRAL
EQUATIONS OF THE FIRST KIND USING LEGENDRE
WAVELET COLLOCATION METHOD

Authors

J. Kumar, P. Manchanda, Pooja
Department of Mathematics
Guru Nanak Dev University
Amritsar, INDIA

Abstract

We present an algorithm based on regularization method and wavelet collocation method to find approximate solutions of Fredholm integral equations of the first kind. First kind Fredholm integral equations are often ill-posed problems. Fredholm integral equation of the first kind is converted into approximate well posed Fredholm integral equation of the second kind by applying regularization method and then solution to the resulting equation is obtained by using collocation method with Legendre wavelets.

History

Received: 2017-03-16
Revised: 2017-06-17
Published: November 29, 2017

AMS Classification, Key Words

AMS Subject Classification: 42C40, 45B05, 47A52
Key Words and Phrases: first kind Fredholm integral equation, regularization method, Legendre wavelet, collocation method

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How to Cite?

DOI: 10.12732/ijpam.v117i1.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 117
Issue: 1
Pages: 33 - 43

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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