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

Document Type : Research Paper

Authors

1 Marwadi University Research Center, Department of Mathematics, Faculty of Engineering & Technology, Marwadi University, Rajkot, 360003, Gujarat, India.

2 Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India-144411.

Abstract

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.

Keywords

Main Subjects

References

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Computational Methods for Differential Equations
Volume 14, Issue 2
April 2026
Pages 519-548

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History

  • Receive Date: 23 November 2024
  • Revise Date: 13 January 2025
  • Accept Date: 27 February 2025

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