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Kapoor, Mamta, Arora, Geeta, Joshi, Varun. (1405). Numerical approximation of coupled Schrödinger equations via NUAH B-spline DQM. سامانه مدیریت نشریات علمی, 14(2), 519-548. doi: 10.22034/cmde.2025.64656.2935
Mamta Kapoor; Geeta Arora; Varun Joshi. "Numerical approximation of coupled Schrödinger equations via NUAH B-spline DQM". سامانه مدیریت نشریات علمی, 14, 2, 1405, 519-548. doi: 10.22034/cmde.2025.64656.2935
Kapoor, Mamta, Arora, Geeta, Joshi, Varun. (1405). 'Numerical approximation of coupled Schrödinger equations via NUAH B-spline DQM', سامانه مدیریت نشریات علمی, 14(2), pp. 519-548. doi: 10.22034/cmde.2025.64656.2935
Kapoor, Mamta, Arora, Geeta, Joshi, Varun. Numerical approximation of coupled Schrödinger equations via NUAH B-spline DQM. سامانه مدیریت نشریات علمی, 1405; 14(2): 519-548. doi: 10.22034/cmde.2025.64656.2935

Numerical approximation of coupled Schrödinger equations via NUAH B-spline DQM

Computational Methods for Differential Equations
مقاله 2، دوره 14، شماره 2، تیر 2026، صفحه 519-548    اصل مقاله (1.7 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 the 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. The SSP-RK43 technique is used to solve the reduced system of ODEs. Via the matrix method, the stability of the proposed method is investigated, and it is found to be stable. Four experiments are used to confirm the efficiency of the suggested scheme, and data from the literature are compared throughout. It is clear that the 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. The graphical abstract is provided as per Figure 1.
کلیدواژه‌ها
Differential quadrature method؛ NUAH B-spline؛ SSP-RK43 scheme؛ Matrix stability method
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