TY - JOUR
TI - A new method for numerical solution of wave equation in hyperbolic model based on stochastic simulation
AU - Tian Yi
JN - Thermal Science
PY - 2026
VL - 30
IS - 2
SP - 1117
EP - 1123
PT - Article
AB - 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.
DO - 10.2298/TSCI2602117T
ER -