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Numerical investigation of time fractional nonlinear Klein-Gordon equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 06 آبان 1405 اصل مقاله (1.15 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.72303.3650 | ||
| نویسندگان | ||
| Somayeh Nasiri Mofrad؛ Akbar Mohebbi* | ||
| Department of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, Iran. | ||
| چکیده | ||
| In the current paper, we investigate the numerical solution of time fractional nonlinear Klein-Gordon equation. The time fractional derivative which has been described in the Caputo sense, is approximated by a scheme of order $O(\tau^{3-\alpha} ), 1 \le \alpha \le 2$, and the fully discerete scheme is obtained using finite volume method with piecewise linear basis functions. We prove that the proposed method is stable and convergent with order $O(\tau^{3-\alpha}+h^2)$. To show the accuracy, superiority and efficiency of the proposed method, we present two test problems and compare the results with some methods developed in literature. | ||
| کلیدواژه‌ها | ||
| Caputo time-fractional derivative؛ Finite difference scheme؛ Finite volume method؛ Stability؛ Convergence | ||
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آمار تعداد مشاهده مقاله: 4 تعداد دریافت فایل اصل مقاله: 1 |
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