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Balali, Zahra, Taheri, Narges, Rashidinia, Jalil. (1401). Application of Green's function and Sinc approximation in the numerical solution of the fractional differential equations. فیزیولوژی و بیوتکنولوژی آبزیان, 11(1), 187-205. doi: 10.22124/jmm.2022.22809.2022
Zahra Balali; Narges Taheri; Jalil Rashidinia. "Application of Green's function and Sinc approximation in the numerical solution of the fractional differential equations". فیزیولوژی و بیوتکنولوژی آبزیان, 11, 1, 1401, 187-205. doi: 10.22124/jmm.2022.22809.2022
Balali, Zahra, Taheri, Narges, Rashidinia, Jalil. (1401). 'Application of Green's function and Sinc approximation in the numerical solution of the fractional differential equations', فیزیولوژی و بیوتکنولوژی آبزیان, 11(1), pp. 187-205. doi: 10.22124/jmm.2022.22809.2022
Balali, Zahra, Taheri, Narges, Rashidinia, Jalil. Application of Green's function and Sinc approximation in the numerical solution of the fractional differential equations. فیزیولوژی و بیوتکنولوژی آبزیان, 1401; 11(1): 187-205. doi: 10.22124/jmm.2022.22809.2022

Application of Green's function and Sinc approximation in the numerical solution of the fractional differential equations

Journal of Mathematical Modeling
دوره 11، شماره 1، خرداد 2023، صفحه 187-205    اصل مقاله (337.73 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2022.22809.2022
نویسندگان
Zahra Balali1؛ Narges Taheri* 1؛ Jalil Rashidinia2
1Department of Mathematics, South Tehran Branch, Islamic Azad University,Tehran, Iran
2School of Mathematics, Iran University of Science and Technology, Narmak,Tehran 168613114, Iran
چکیده
The primary purpose of this paper is the construction of the Green's function and Sinc approximation for a class of Caputo fractional boundary value problems (CFBVPs). By using the inverse derivative of the fractional order, we can derive the equivalent fractional order Volterra integral equations from CFBVPs, which is considered Green's function. It is approximated by the Sinc-Collocation method. A convergence analysis of the presented method is given. Our approach is applied to five examples.  We derive that our approach converges to the exact solution rapidly with the order of exponential accuracy.
کلیدواژه‌ها
Volterra integral equations؛ Sinc-Collocation method؛ Green's function؛ fractional boundary value problems؛ fractional integrals
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تعداد مشاهده مقاله: 203
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