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THERMAL SCIENCE
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A NEW METHOD FOR NUMERICAL SOLUTION OF WAVE EQUATION IN HYPERBOLIC MODEL BASED ON STOCHASTIC SIMULATION
ABSTRACT
The objective of this paper is to examine the numerical solution of the wave equation. The wave equation is discretized by means of the implicit difference method, thereby yielding a large sparse system of linear algebraic equations (AU = b). Subsequently, the Jacobi over-relaxation iterative method is employed to transform it into the form of U = LU + f. The Monte Carlo method is employed to solve this system of equations. A particular instance substantiates the efficacy of this approach in approximating the exact solution with a reasonable degree of accuracy when solving the numerical solution of the wave equation, thus offering a novel methodology for the numerical solution of hyperbolic models.
KEYWORDS
PAPER SUBMITTED: 2024-03-15
PAPER REVISED: 2025-08-08
PAPER ACCEPTED: 2025-08-14
PUBLISHED ONLINE: 2026-04-12
DOI REFERENCE: https://doi.org/10.2298/TSCI2602117T
CITATION EXPORT: view in browser or download as text file
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© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence