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A LINEAR FINITE DIFFERENCE SCHEME FOR THE GENERALIZED DISSIPATIVE SYMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING

ABSTRACT
In this paper, we study and analyze a three-level linear finite difference scheme for the initial boundary value problem of the symmetric regularized long wave equation with damping. The proposed scheme has the second accuracy both for the spatial and temporal discretization. The convergence and stability of the numerical solutions are proved by the mathematical induction and the discrete functional analysis. Numerical results are given to verify the accuracy and the efficiency of proposed algorithm.
KEYWORDS
PAPER SUBMITTED: 2018-05-16
PAPER REVISED: 2018-09-10
PAPER ACCEPTED: 2018-12-05
PUBLISHED ONLINE: 2019-03-31
DOI REFERENCE: https://doi.org/10.2298/TSCI180516086W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 3, PAGES [S719 - S726]
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© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, 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