An effective collocation technique to solve the singular Fredholm integral equations with Cauchy kernel
نویسندگان
چکیده
*Correspondence: [email protected] Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran Abstract In this paper, an effective numerical method to solve the Cauchy type singular Fredholm integral equations (CSFIEs) of the first kind is proposed. The collocation technique based on Bernstein polynomials is used for approximation the solution of various cases of CSFIEs. By transforming the problem into systems of linear algebraic equations, we see that this approach is computationally simple and attractive. Then the approximate solution of the problem in truncated series form is obtained by using the matrix form of this method. Convergence and error analyses of the presented method are mentioned. Finally, numerical experiments show the validity, accuracy, and efficiency of the proposed method.
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