روش موثر برای تقریب جواب معادلات انتگرال با هسته کوشی

In present paper, a numerical approach for solving Cauchy type singular integral equations is discussed. Lagrange interpolation with Gauss Legendre quadrature nodes and Taylor series expansion are utilized to reduce the computation of integral equations into some algebraic equations. Finally, five examples with exact solution are given to show efficiency and applicability of the method. Also, we give the maximum of computed absolute errors for some examples.

Keywords:

Singular integral equation , Cauchy kernel , Lagrange interpolation , Taylor series expansion , Gauss Legendre