Article ID Journal Published Year Pages File Type
4613724 Journal of Mathematical Analysis and Applications 2017 15 Pages PDF
Abstract

Two implicit and two explicit schemes preserving the local momentum conservation laws exactly on any time–space region are proposed for the regularized long-wave equation. With appropriate boundary conditions, the schemes will be energy- and mass-preserving globally. Combining with the momentum conservation laws, we obtain the priori estimates of the numerical solution and the error estimates in l∞l∞ norm for the proposed implicit schemes. Numerical experiments show the excellent performance of the proposed schemes and the numerical results coincide with the theoretical ones.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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