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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.
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.
Details