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

عنوان مقاله: A spectral Chelyshkov wavelet method to solve systems of nonlinear weakly singular Volterra integral equations
شناسه ملی مقاله: JR_KJMMRC-9-1_002
منتشر شده در شماره 1 دوره 9 فصل در سال 1399
مشخصات نویسندگان مقاله:

Mahmoud Mohseni Moghadam - Department of Mathematics, Shahid Bahonar University of Kermaan
Habibollah Saeedi - Departmrnt of Mathematics, Shahid Bahonarf University of Kerman, Kerman, Iran
Nargess Razaghzadeh - Department of Mathematics, Faculty of Science and New Technologies, Graduate University of Advanced Technology, Kerman, Iran.

خلاصه مقاله:
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.

کلمات کلیدی:
Chelyshkov functions, Generalized Abel integral equations, systems of Abel integral equations, Chelyshkov wavelet, Operational matrix of integration

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1034126/