A New Conservative Difference Scheme for the General Rosenau-RLW Equation

By Jin-Ming Zuo, Yaoming Zhang, Tian-de Zhang, Feng Chang. 2010

69 citations recorded by the source corpus.

A new conservative finite difference scheme is presented for an initial-boundary value problem of the general Rosenau-RLW equation. Existence of its difference solutions are proved by Brouwer fixed point theorem. It is proved by the discrete energy method that the scheme is uniquely solvable, unconditionally stable, and second-order convergent. Numerical examples show the efficiency of the scheme.

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7e166f2b34e0e13c168ecfa79597929aa8ffbd17