Title of article :
Numerical Solution of Singular Integral Equations Using Orthogonal Functions
Author/Authors :
Derili, H Islamic Azad University (Karaj Unit) - Faculty of Science - Department of Mathematics, ايران , Sohrabi, S iran university of science and technology - School of Mathematics, تهران, ايران
Abstract :
A new computational method for solving Abel’s integral equation as a singular Volterra integral equation is presented. The method is based on Chebyshev polynomial wavelets approximation. The properties of Chebyshev wavelets are first presented. These properties are then used to reduce the singular Volterra integral equation to the solution of a system of algebraic equations. Numerical examples show the validity and applicability of the method.
Keywords :
Abel’s integral equation , Chebyshev wavelets , Singular Volterra integral equation
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
