A second order convergent difference scheme for the initial-boundary value problem of Rosenau-Burgers equation
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Published:2024-07-04
Issue:01-??
Volume:2024
Page:38
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ISSN:1072-6691
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Container-title:Electronic Journal of Differential Equations
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language:
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Short-container-title:ejde
Author:
Dong Sitong,Zhang Xin,Jin Yuanfeng
Abstract
We construct a two-level implicit nonlinear finite difference scheme for the initial boundary value problem of Rosenau-Burgers equation based on the method of order reduction. We discuss conservation, unique solvability, and convergence for the difference scheme. The new scheme is shown to be second-order convergent in time and space. Finally, numerical simulations illustrate our theoretical analysis.
For more information see https://ejde.math.txstate.edu/Volumes/2024/38/abstr.html
Publisher
Texas State University