Solutions of Singular Integral Equations Arising From Frictional Sliding Contact of Layer and Stamp Models Using Sinc‐Collocation Methods

ABSTRACT In this article, two approximate methods for solving singular integral equations of the second type with the Cauchy kernel are presented using numerical methods, which is a mathematical model for many practical problems. This objective is based on a process of functions of the Sinc‐collocation methods. Using the Sinc approximation with single‐exponential and double‐exponential transformations, methods are developed. The approximation resulting from these methods transforms the problem into a system of algebraic equations. We have also determined the analysis of the error bounds of the proposed schemes. Finally, the test examples supported by graphs clearly show the reliability and computational efficiency of the proposed schemes.