Title of article :
A spectral Chelyshkov wavelet method to solve systems of nonlinear weakly singular Volterra integral equations
Author/Authors :
Razaghzadeh ، Nargess Department of Mathematics - Faculty of Science and New Technologies - Graduate University of Advanced Technology , Mohseni Moghadam ، Mahmoud DEPARTMENT OF APPLIED MATHEMATICS - FACULTY OF MATHEMATICS AND COMPUTER, MAHANI MATHEMATICAL RESEARCH CENTER - SHAHID BAHONAR UNIVERSITY OF KERMAN , Saeedi ، Habibollah DEPARTMENT OF APPLIED MATHEMATICS - MAHANI MATHEMATICAL RESEARCH CENTER, FACULTY OF MATHEMATICS AND COMPUTER - Shahid Bahonarf University of Kerman
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
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
