The combined Sinc-Taylor expansion method to solve Abel's integral equation

Subject Areas : Applied Mathematics

M Fariborzi Araghi ¹ , Gh Kazami-Gelian ²

1 - Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Shirvan Branch, Islamic Azad University, Shirvan, Iran

Received: 2015-09-21 Accepted : 2015-09-21 Published : 2016-05-01

Keywords: Singular integral equation, Abel's integral equation, Sinc collection methods, Single exponential transformation,

Abstract :

In this paper , numerical solotion of Abel's integral equationby using the Taylor expanssion of the unknown functionvia collection method based on Sinc is considered...