Title of article :
The combined Sinc-Taylor expansion method to solve Abel’s integral equation
Author/Authors :
Fariborzi-Araghi, M. A. Department of Mathematics - Central Tehran Branch, Islamic Azad University , Kazemi-Gelian, Gh. Department of Mathematics - Shirvan Branch, Islamic Azad University
Abstract :
In this paper, numerical solution of Abel’s integral equation by using the Taylor expansion of the unknown function via collocation method based on sinc is considered. The method converts Abel’s integral equation to a system of linear equations for the unknown function. A desired solution can be determined by solving the resulting system. Numerical examples show the accuracy and efficiency of the method.
Keywords :
Singular integral equation , Abel’s integral equation , Sinc collocation method , Single exponential transformation
Journal title :
نظريه تقريب و كاربردهاي آن
