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THERMAL SCIENCE
International Scientific Journal
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AN EXTRAPOLATED HIGH-ORDER LINEAR FINITE DIFFERENCE SCHEME FOR THE ROSENAU-RLW EQUATION
ABSTRACT
A high-order linear finite difference scheme is developed for the initial-boundary value problem of the Rosenau-RLW equation based on extrapolation techniques. By applying temporal extrapolation to the nonlinear terms and spatial Richardson extrapolation, the new numerical scheme with accuracy of order O(τ2+h4)is derived. The convergence of the proposed scheme is rigorously proved by Sobolev inequality. Numerical examples are also presented to verify the effectiveness and accuracy of the scheme.
KEYWORDS
PAPER SUBMITTED: 2025-05-15
PAPER REVISED: 2025-09-12
PAPER ACCEPTED: 2025-10-31
PUBLISHED ONLINE: 2026-07-25
DOI REFERENCE: https://doi.org/10.2298/TSCI250515130Z
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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 4.0 International licence