A spectral Chelyshkov wavelet method to solve systems of nonlinear weakly singular Volterra integral equations

Document Type : Research Paper


1 Department of Mathematics, Shahid Bahonar University of Kermaan

2 Departmrnt of Mathematics, Shahid Bahonarf University of Kerman, Kerman, Iran

3 Department of Mathematics, Faculty of Science and New Technologies, Graduate University of Advanced Technology, Kerman, Iran.


Based on Chelyshkov wavelet, an operational matrix of integration is extracted, and then is applied for solving linear and nonlinear Abel and systems of Abel integral equations. Some numerical examples confirm the applicability, accuracy and efficiency of the method.