THERMAL SCIENCE

International Scientific Journal

A SIXTH-ORDER ACCURACY CONSERVATIVE LINEAR FINITE DIFFERENCE SCHEME FOR RLW EQUATION

ABSTRACT
By the Taylor expansion and extrapolation combinations in the spatial direction, the second order and fourth order components of spatial truncation errors can be removed, resulting in a theoretical accuracy of sixth order. In the temporal direction, the average implicit method is employed to achieve second-order theoretical accuracy. Subsequently, a linear average implicit difference scheme for the initial boundary value problem of regularized long wave equation is constructed, which can reasonably simulate the two conservative quantities of the problem. Moreover, the convergence and stability of the scheme are also proved. Numerical examples also demonstrate the effectiveness of the proposed method.
KEYWORDS
PAPER SUBMITTED: 2024-09-08
PAPER REVISED: 2024-10-22
PAPER ACCEPTED: 2024-11-28
PUBLISHED ONLINE: 2025-05-03
DOI REFERENCE: https://doi.org/10.2298/TSCI2502063Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 2, PAGES [1063 - 1069]
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2025 Society of Thermal Engineers of Serbia. Published by the VinĨa 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