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Mohseni Moghadam, Mahmoud, Saeedi, Habibollah, Razaghzadeh, Nargess. (1399). A spectral Chelyshkov wavelet method to solve systems of nonlinear weakly singular Volterra integral equations. , 9(1), 23-43. doi: 10.22103/jmmrc.2020.14910.1106
Mahmoud Mohseni Moghadam; Habibollah Saeedi; Nargess Razaghzadeh. "A spectral Chelyshkov wavelet method to solve systems of nonlinear weakly singular Volterra integral equations". , 9, 1, 1399, 23-43. doi: 10.22103/jmmrc.2020.14910.1106
Mohseni Moghadam, Mahmoud, Saeedi, Habibollah, Razaghzadeh, Nargess. (1399). 'A spectral Chelyshkov wavelet method to solve systems of nonlinear weakly singular Volterra integral equations', , 9(1), pp. 23-43. doi: 10.22103/jmmrc.2020.14910.1106
Mohseni Moghadam, Mahmoud, Saeedi, Habibollah, Razaghzadeh, Nargess. A spectral Chelyshkov wavelet method to solve systems of nonlinear weakly singular Volterra integral equations. , 1399; 9(1): 23-43. doi: 10.22103/jmmrc.2020.14910.1106

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

Journal of Mahani Mathematical Research
مقاله 2، دوره 9، شماره 1، شهریور 2020، صفحه 23-43    اصل مقاله (483.7 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22103/jmmrc.2020.14910.1106
نویسندگان
Mahmoud Mohseni Moghadam* 1؛ Habibollah Saeedi2؛ Nargess Razaghzadeh3
1Department of Mathematics, Shahid Bahonar University of Kermaan
2Departmrnt of Mathematics, Shahid Bahonarf University of Kerman, Kerman, Iran
3Department of Mathematics, Faculty of Science and New Technologies, Graduate University of Advanced Technology, Kerman, Iran.
چکیده
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.
کلیدواژه‌ها
Chelyshkov functions؛ Generalized Abel integral equations؛ systems of Abel integral equations؛ Chelyshkov wavelet؛ Operational matrix of integration
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تعداد مشاهده مقاله: 391
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