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

Mohseni Moghadam, Mahmoud; Saeedi, Habibollah; Razaghzadeh, Nargess

doi:10.22103/jmmrc.2020.14910.1106

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

Document Type : Research Paper

Authors

Mahmoud Mohseni Moghadam ¹

Habibollah Saeedi ²

Nargess Razaghzadeh ³

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.

10.22103/jmmrc.2020.14910.1106

Abstract

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.

Keywords

Chelyshkov functions

Generalized Abel integral equations

systems of Abel integral equations

Chelyshkov wavelet

Operational matrix of integration