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Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method | ||
Computational Methods for Differential Equations | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 14 دی 1401 اصل مقاله (1.19 MB) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2022.52725.2218 | ||
نویسندگان | ||
Amjad AliPanah ![]() | ||
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 nd 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 to 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 | ||
آمار تعداد مشاهده مقاله: 105 تعداد دریافت فایل اصل مقاله: 85 |