Galerkin approximation with quintic B-spline as basis and weight functions for solving second order coupled nonlinear Schrödinger equations

Azhar Iqbal, Nur Nadiah Abd Hamid, Ahmad Izani Md. Ismail and Muhammad Abbas

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 187, issue C, 1-16

Abstract: In this article, the Galerkin method, based on quintic B-spline function as the shape and weight functions is described for the numerical solution of the second order coupled nonlinear Schrödinger equations. Finite difference and Crank–Nicolson schemes are used to discretize the time derivative and nodal parameters respectively. Three numerical problems are presented to assess the accuracy and capability of the proposed method. The maximum errors, norms and conserved quantities are calculated. The obtained numerical results show that the present scheme with higher order B-spline as basis and weight functions performs well and accurately. The numerical results are compared with analytical and published results.

Keywords: Quintic B-spline basis and weight functions; Galerkin finite element method; Coupled nonlinear Schrödinger equation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:187:y:2021:i:c:p:1-16

DOI: 10.1016/j.matcom.2021.02.012

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