An operational new wavelet approach for 2D Abel integral equation

کد مقاله : 1118-SLAA10

نویسندگان

سید امجد ثمره هاشمی * دانشکده ریاضی

چکیده مقاله

In this paper, an operational wavelet method is introduced for finding an approximate solution of a class of two-dimensional Volterra weakly integral equations (two-dimensional Abel integral equations of the second kind). The presented method is a spectral method based on Chelyshkov wavelets from operational matrices. Perspective numerical examples show the efficiency and applicability of the proposed method in smooth and nonsmooth cases.

کلیدواژه ها

2D Abel integral equation, fractional integral, Chelyshkov wavelet, Operational matrix

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