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

Kapoor, Mamta; Arora, Geeta; Joshi, Varun

doi:10.22034/cmde.2025.64656.2935

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

Articles in Press

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.

10.22034/cmde.2025.64656.2935

Abstract

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.

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