JACOBI NUMERICAL METHOD FOR SOLVING 3D CONTINUATION PROBLEM FOR WAVE EQUATION
Bakanov G. Chandragiri S. Shishlenin M.A.
2025Sobolev Institute of Mathematics
Siberian Electronic Mathematical Reports
2025#22Issue 1428 - 442 pp.
In this paper we consider an explicit finite difference 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 efficient solution to a dense system of linear equations. We use the Jacobi iteration method for solving the linear system to improve computational efficiency and the results of convergence of the proposed method. Numerical experiments are presented.
3D wave equation , continuation problem , finite difference scheme , ill-posed problem , numerical analysis , regularization
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KhojaAkhmetYassawi International Kazakh-Turkish University, Bekzat Sattarhanov Street No:29, Turkestan, 161200, Kazakhstan
Sobolev Institute of Mathematics, pr. Koptyuga, 4, Novosibirsk, 630090, Russian Federation
KhojaAkhmetYassawi International Kazakh-Turkish University
Sobolev Institute of Mathematics
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