Wavelet Based Numerical Solution of Second Kind Hypersingular Integral Equation1
نویسندگان
چکیده
A Legendre multiwavelet based method is developed in this paper to solve second kind hypersingular integral equation by converting it into a Cauchy singular integro-differential equation. Multiscale representation of the singular and differential operators is obtained by employing Legendre multiwavelet basis. An estimate of the error of the approximate solution of the integral equation is obtained. A number of examples are given to illustrate the efficiency of the numerical method developed here.
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