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Application of cubic B-spline collocation method for reaction diffusion Fisher's equation | ||
| Computational Methods for Differential Equations | ||
| مقاله 2، دوره 9، شماره 1، فروردین 2021، صفحه 22-35 اصل مقاله (694.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.35430.1605 | ||
| نویسندگان | ||
| Mahboubeh Molavi-Arabshahi* ؛ Kowsar Shavali-koohshoori | ||
| School of Mathematics, Iran University of Science and Technology, Narmak 16844, Tehran, Iran. | ||
| چکیده | ||
| In this study, an effective collocation method based on cubic B-spline has been implemented to get the numerical solutions for the non-linear Fisher’s equation. After separating this scheme with this method, the stability of the method was proven. To check the efficiency and accuracy of the proposed method, some numerical problems have been considered. The numerical results are found in good agreement with the exact solutions. | ||
| کلیدواژهها | ||
| B-Spline؛ Collocation؛ Fisher’s equation | ||
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