Jacobi numerical method for solving 3D continuation problem for wave equation

Galitdin B. Bakanov, Sreelatha Chandragiri, Maxim A. Shishlenin

2025

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DOI 10.33048/semi.2025.22.028

Data confidence 70 medium

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Abstract

In this paper we consider an explicit nite dierence scheme to solve an ill-posed continuation problem for the 3D wave equation with the data given on the part of the boundary.We reduce the problem to a system of linear algebraic equations and implement the numerical solution using an iterative solver and discuss an ecient solution to a dense system of linear equations.We use the Jacobi iteration method for solving the linear system to improve computational eciency and the results of convergence of the proposed method.Numerical experiments are presented.