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.


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