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2013•Journal of Sichuan Normal UniversityRequires access

Finite Difference Approximate Solutions for the Generalized Rosenau-Burgers Equation

LI Silin

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Abstract

In this paper,a finite difference method for an initial-boundary value problem of generalized Rosenau-Burgers equation is considered.An 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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What this paper is about

In this paper,a finite difference method for an initial-boundary value problem of generalized Rosenau-Burgers equation is considered.An 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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Available abstract

In this paper,a finite difference method for an initial-boundary value problem of generalized Rosenau-Burgers equation is considered.An 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.

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

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