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Convergence analysis of compact finite difference method for the solution of anti-periodic boundary value problems | ||
| Journal of Mathematical Modeling | ||
| مقاله 13، دوره 12، شماره 1، خرداد 2024، صفحه 1-15 اصل مقاله (208.28 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.25342.2251 | ||
| نویسندگان | ||
| Abdol Baseer Saqib؛ Ghasem Barid Loghmani* ؛ Mohammad Heydari | ||
| Department of Mathematical Sciences, Yazd University, Yazd, Iran | ||
| چکیده | ||
| The main objective of this paper is to introduce the fourth and sixth-order compact finite difference methods for solving anti-periodic boundary value problems. Compact finite difference formulas can approximate the derivatives of a function more accurately than the standard finite difference formulas for the same number of grid points. The convergence analysis of the proposed method is also investigated. This analysis shows how the error between the approximate and exact solutions decreases as the grid space is reduced. To validate the proposed method's accuracy and efficiency, some computational experiments are provided. Moreover, a comparison is performed between the standard and compact finite difference methods. The experiments indicate that the compact finite difference method is more accurate and efficient than the standard one. | ||
| کلیدواژه‌ها | ||
| Anti-periodic boundary value problems؛ finite difference method؛ compact finite difference method؛ convergence analysis | ||
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آمار تعداد مشاهده مقاله: 352 تعداد دریافت فایل اصل مقاله: 655 |
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