An efficient method for approximate solution of a singular integral equation with Cauchy kernel

摘要

In this paper, the Least Squares method and the reproducing kernel space are employed to obtain approximate solution of a general form of singular integral equations with Cauchy kernel. This approach is based on the construction of the subspace which is dense in the reproducing kernel space. The numerical examples illustrate the high accuracy of the method. (C) 2018 Elsevier B.V. All rights reserved.