TITLE

Numerical solution of linear Fredholm and Volterra integral equation of second kind by using Gegenbauer wavelet

AUTHOR(S)
Singh, Rajeev Kumar; Mandal, B. N.
PUB. DATE
September 2013
SOURCE
Journal of Advanced Research in Scientific Computing;2013, Vol. 5 Issue 3, p43
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper we present an efficient numerical method for solving Fredholm and Volterra integral equations of second kind by using Gegenbouer wavelet method . In the proposed method the unknown function in Fredholm and Volterra integral equation are approximated by using basis of Gegenbouer wavelet in L2wα(0; 1] space which reduces the unknown function into system of linear algebraic equations. The main advantage of this new method are, the values of k;M and α are adjustable as well as it yields more accurate numerical solution. The uniform convergence theorem and accuracy estimation are derived in L2wα(0; 1] and numerical examples are discussed to demonstrate the validity and applicability of the method.
ACCESSION #
93733988

 

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