University of Tabriz Computational Methods for Differential Equations 2345-3982 14 2 2026 04 01 Numerical approximation of coupled Schrödinger equations via NUAH B-spline DQM 519 548 19400 10.22034/cmde.2025.64656.2935 EN Mamta Kapoor Marwadi University Research Center, Department of Mathematics, Faculty of Engineering & Technology, Marwadi University, Rajkot, 360003, Gujarat, India. Geeta Arora Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India-144411. Varun Joshi Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India-144411. Journal Article 2024 11 23 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. https://cmde.tabrizu.ac.ir/article_19400_2b628ed0df022df6142134d2a2f8c851.pdf