Conservative Linear Difference Scheme for Rosenau-KdV Equation
By Jinsong Hu, Youcai Xu, Bing Hu. 2013
69 citations recorded by the source corpus.
A conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. The difference scheme simulates two conservative quantities of the problem well. The existence and uniqueness of the difference solution are proved. It is shown that the finite difference scheme is of second-order convergence and unconditionally stable. Numerical experiments verify the theoretical results.
Subfields: Numerical Analysis, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6f323f8e61e33b9c5627349b1c8fe9589d553cb6
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In Numerical Analysis
In Statistical and Nonlinear Physics
Citations in the corpus
- New conservative difference schemes with fourth‐order accuracy for some model equation for nonlinear dispersive waves (2018, methodology): “3 Example 3: Comparison of the scheme proposed in [17, 11] with Scheme D 6.”