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Numerical approximation of coupled Schr𝐨̈dinger equations via NUAH B-spline DQM | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 اسفند 1403 اصل مقاله (26.89 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.64656.2935 | ||
| نویسندگان | ||
| Mamta Kapoor* 1؛ Geeta Arora2؛ Varun Joshi2 | ||
| 1Marwadi University Research Center, Department of Mathematics, Faculty of Engineering \& Technology, Marwadi University, Rajkot, 360003, Gujarat, India. | ||
| 2Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India-144411. | ||
| چکیده | ||
| The goal of current study is to offer a novel method for numerically solving coupled 1D and 2D nonlinear Schr𝑜̈dinger equations. To discretize the spatial partial derivative, we applied the MCNUAH B-spline DQM. SSP-RK43 technique is used to solve reduced system of ODEs. Via matrix method, stability of proposed method is investigated and is stable. Four experiments are used to confirm efficiency of suggested scheme, and data from literature are compared throughout. It is clear that obtained results are satisfactory and in strong accord with preceding results. This approach yields superior outcomes and is effective, straightforward, and reasonably simple to use. | ||
| کلیدواژه‌ها | ||
| Differential Quadrature Method؛ NUAH B-spline؛ SSP-RK43 scheme؛ Matrix stability method | ||
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آمار تعداد مشاهده مقاله: 92 تعداد دریافت فایل اصل مقاله: 131 |
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