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.

中文翻译：

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基于线性重心插值的搭配方法在数值求解 2D 和 3D Klein-Gordon-Schrödinger (KGS) 方程中的应用

目的

本文的目的是获得二维 (2-D) 和 3 维 (3-D) Klein-Gordon-Schrödinger (KGS) 方程的精确数值解。

设计/方法/方法

线性重心插值微分矩阵的使用有助于在合理的中央处理单位时间内计算 2-D 和 3-D 空间中的数值解。

发现

数值模拟证实了所提出方法的效率和准确性。

原创性/价值

首次将线性重心插值方法应用于2-D和3-D KGS方程，取得了较好的效果。