Application of a collocation method based on linear barycentric interpolation for solving 2D and 3D Klein-Gordon-Schrödinger (KGS) equations numerically
ISSN: 0264-4401
Article publication date: 2 December 2020
Issue publication date: 30 June 2021
Abstract
Purpose
The purpose of this paper is to obtain accurate numerical solutions of two-dimensional (2-D) and 3-dimensional (3-D) Klein–Gordon–Schrödinger (KGS) equations.
Design/methodology/approach
The use of linear barycentric interpolation differentiation matrices facilitates the computation of numerical solutions both in 2-D and 3-D space within reasonable central processing unit times.
Findings
Numerical simulations corroborate the efficiency and accuracy of the proposed method.
Originality/value
Linear barycentric interpolation method is applied to 2-D and 3-D KGS equations for the first time, and good results are obtained.
Keywords
Acknowledgements
The author received no funding for this work. The author also would like to thank four referees for their precious comments and advices and their valuable time they spent for this article.
Citation
Oruç, Ö. (2021), "Application of a collocation method based on linear barycentric interpolation for solving 2D and 3D Klein-Gordon-Schrödinger (KGS) equations numerically", Engineering Computations, Vol. 38 No. 5, pp. 2394-2414. https://doi.org/10.1108/EC-06-2020-0312
Publisher
:Emerald Publishing Limited
Copyright © 2020, Emerald Publishing Limited