Application of a collocation method based on linear barycentric interpolation for solving 2D and 3D Klein-Gordon-Schrödinger (KGS) equations numerically. Issue 5 (2nd December 2020)

• Record Type: Journal Article
• Authors: Oruç, Ömer
• Is Part Of: Engineering computations. Volume 38:Issue 5(2021)
• Page Start: 2394
• Page End: 2414
• Publication Date: 2020-12-02
• Subjects: Nonlinearity -- Numerical solution -- Linear barycentric interpolation method (LBIM) -- Multidimensional Klein–Gordon–Schrödinger (KGS) equations; 65N35 -- 65M70; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-06-2020-0312
• Languages: English
• ISSNs: 0264-4401

Abstract

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.