THERMAL SCIENCE

International Scientific Journal

Jin-Song Hu

,

Wen-Yong Yan

,

Ke-Long Zheng

A NEW LINEAR DIFFERENCE SCHEME FOR SOLVING THE GENERALIZED ROSENAU-BURGERS EQUATION

ABSTRACT
A second-order accurate linear finite difference scheme is established for the initial-boundary value problem of the Rosenau-Burgers equation, based on an extrapolation technique. By utilizing a priori estimates derived from the numerical scheme, unconditional stability, and convergence are proved. Numerical results further verify the theoretical accuracy and effectiveness of the proposed scheme.
KEYWORDS
Rosenau-Burgers equation, linear, extrapolation, finite difference scheme, convergence
PAPER SUBMITTED: 2025-05-07
PAPER REVISED: 2025-09-28
PAPER ACCEPTED: 2025-10-31
PUBLISHED ONLINE: 2026-07-25
DOI REFERENCE: https://doi.org/10.2298/TSCI250507128H
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A new linear difference scheme for solving the generalized Rosenau-Burgers equation

© 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