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Expansion method for linear integral equations by cardinal B-spline wavelet and Shannon wavelet as bases for obtain Galerkin system. (English) Zbl 1088.65117

Summary: We apply the B-spline and Shannon wavelets bases for approximating the solution of linear integral equations of the second kind, then by this wavelet bases we construct a Galerkin system, which is important the expansion methods in solving linear integral equations. At the end, for showing efficiency of this method, we use numerical examples.

MSC:

65R20 Numerical methods for integral equations
45B05 Fredholm integral equations
65T60 Numerical methods for wavelets
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References:

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