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

Document Type : Research Paper

Authors

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.

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


Volume 9, Issue 1
June 2020
Pages 23-43
  • Receive Date: 27 October 2019
  • Revise Date: 03 May 2020
  • Accept Date: 07 May 2020
  • First Publish Date: 01 June 2020