Wavelet Galerkin method for solving singular integral equations

An effective technique upon linear B-spline wavelets has been developed for solving weakly singular Fredholm integral equations. Properties of these wavelets and some operational matrices are first presented. These properties are then used to reduce the computation of integral equations to some alge...

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Bibliographic Details
Published inComputational & applied mathematics Vol. 31; no. 2; pp. 373 - 390
Main Authors Maleknejad, K, Nosrati, M, Najafi, E
Format Journal Article
LanguageEnglish
Published Sociedade Brasileira de Matemática Aplicada e Computacional 2012
Subjects
MATHEMATICS, APPLIED
linear B-spline wavelets
weakly singular
integral equation
operational matrices
thresholding parameter
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Summary:An effective technique upon linear B-spline wavelets has been developed for solving weakly singular Fredholm integral equations. Properties of these wavelets and some operational matrices are first presented. These properties are then used to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples. Mathematical subject classification: 45A05, 32A55, 34A25, 65T60.
ISSN:1807-0302
1807-0302
DOI:10.1590/S1807-03022012000200009