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AliPanah, Amjad, Mohammadi, Kaivan, Ghasemi, Mohammad. (1402). Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method. سامانه مدیریت نشریات علمی, 11(3), 643-663. doi: 10.22034/cmde.2022.52725.2218
Amjad AliPanah; Kaivan Mohammadi; Mohammad Ghasemi. "Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method". سامانه مدیریت نشریات علمی, 11, 3, 1402, 643-663. doi: 10.22034/cmde.2022.52725.2218
AliPanah, Amjad, Mohammadi, Kaivan, Ghasemi, Mohammad. (1402). 'Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method', سامانه مدیریت نشریات علمی, 11(3), pp. 643-663. doi: 10.22034/cmde.2022.52725.2218
AliPanah, Amjad, Mohammadi, Kaivan, Ghasemi, Mohammad. Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method. سامانه مدیریت نشریات علمی, 1402; 11(3): 643-663. doi: 10.22034/cmde.2022.52725.2218

Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method

Computational Methods for Differential Equations
مقاله 15، دوره 11، شماره 3، شهریور 2023، صفحه 643-663    اصل مقاله (198.51 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.52725.2218
نویسندگان
Amjad AliPanah* ؛ Kaivan Mohammadi؛ Mohammad Ghasemi
Department of Applied Mathematics, Faculty of Science, University of Kurdistan, Sanandaj, Kurdistan, Iran.
چکیده
In this work, a non-classical sinc-collocation method is used to  find numerical solution of third-order boundary value problems. The novelty of this approach is based on using the weight functions in the traditional sinc- expansion. The properties of sinc-collocation are used to reduce the boundary value problems to a nonlinear system of algebraic equations which can be solved numerically. In addition, the convergence of the proposed method is discussed by preparing the theorems which show exponential convergence and guarantee its applicability. Several examples are solved and the numerical results show the efficiency and applicability of the method.
کلیدواژه‌ها
Non-classical؛ Sinc collocation method؛ Third-order؛ Boundary value problem؛ Convergence
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