An operational matrix method based on the multivariate Lagrange polynomial for the multi-dimensional nonlinear Schrodinger equation | ||
| AUT Journal of Mathematics and Computing | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از 28 تیر 1405 | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2026.24856.1473 | ||
| نویسندگان | ||
| Ali Zakeri* 1؛ Fatemeh Abdolabadi1؛ Amirhossein Amiraslani2 | ||
| 1Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran | ||
| 2School of STEM, Department of Mathematics, Capilano University, Canada | ||
| چکیده | ||
| In this paper, we give an operational matrix method based on the multivariate Lagrange polynomial basis to find the approximate solution of the multi-dimensional nonlinear Schrodinger (NLS) equation. The NLS equation is discretized through the Leap-Frog method with respect to the time variable. For space discretization, we first compute the differentiation matrix in the multivariate Lagrange polynomial basis. Then the NLS equation is discretized by an operational matrix method. We analyze the unique solvability and stability of the presented method. Finally, in order to observe the validity, effectiveness and accuracy of the proposed method, we give numerical examples for both two and three dimensional NLS equations. | ||
| کلیدواژهها | ||
| Nonlinear Schrodinger equation؛ Leap-Frog method؛ Multivariate Lagrange polynomial basis؛ Matrix of differentiation؛ Stability | ||
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آمار تعداد مشاهده مقاله: 100 |
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