TY - JOUR ID - 2621 TI - A spectral Chelyshkov wavelet method to solve systems of nonlinear weakly singular Volterra integral equations JO - Journal of Mahani Mathematical Research JA - JMMR LA - en SN - 2251-7952 AU - Mohseni Moghadam, Mahmoud AU - Saeedi, Habibollah AU - Razaghzadeh, Nargess AD - Department of Mathematics, Shahid Bahonar University of Kermaan AD - Departmrnt of Mathematics, Shahid Bahonarf University of Kerman, Kerman, Iran AD - Department of Mathematics, Faculty of Science and New Technologies, Graduate University of Advanced Technology, Kerman, Iran. Y1 - 2020 PY - 2020 VL - 9 IS - 1 SP - 23 EP - 43 KW - Chelyshkov functions KW - Generalized Abel integral equations KW - systems of Abel integral equations KW - Chelyshkov wavelet KW - Operational matrix of integration DO - 10.22103/jmmrc.2020.14910.1106 N2 - 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. UR - https://jmmrc.uk.ac.ir/article_2621.html L1 - https://jmmrc.uk.ac.ir/article_2621_4bf7a2b386e012db15986efda6e94fd5.pdf ER -