2010•Journal of Sichuan Normal UniversityRequires access

A New Finite Difference Scheme for Rosenau-Burgers Equation

Maobo Zheng

Abstract

In this paper,a finite difference method for an initial-boundary value problem of Rosenau-Burgers equation is considered.A implicit finite difference of three levels is proposed.Existence and uniqueness of numerical solutions are derived.It is proved that the finite difference scheme is convergent in order o(τ2+h2) and stable.Numerical experiments show that our method is efficient.

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Key concepts: Mathematics, Finite difference coefficient, Finite difference method, Uniqueness, Central differencing scheme, Finite difference, Burgers' equation, Finite difference scheme