Article ID Journal Published Year Pages File Type
4629706 Applied Mathematics and Computation 2012 8 Pages PDF
Abstract

In this paper, a linear-implicit finite difference scheme is given for the initial-boundary problem of Rosenau–Burgers equation, which is convergent and unconditionally stable. The unique solvability of numerical solutions has been shown. A priori estimate and second-order convergence of the finite difference approximate solution are discussed using energy method. Numerical results demonstrate that the scheme is efficient and accurate.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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