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2015•Journal of Sichuan Normal UniversityRequires access

A Conservative Linear Difference Schemes of Generalized Rosenau-Kawahara Equation

Chen Ta

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Abstract

A linear three-level conservative difference scheme for the numerical solution of the initial-boundary value problem of generalized Rosenau-Kawahara equation is proposed. The difference scheme simulates two conservative quantities of the problem well.The prior estimation of the finite difference solution is obtained. It is proved that the finite difference scheme is convergent with secondorder and unconditionally stable by discrete functional analysis method. Numerical experiments verify the theoretical results.

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What this paper is about

A linear three-level conservative difference scheme for the numerical solution of the initial-boundary value problem of generalized Rosenau-Kawahara equation is proposed. The difference scheme simulates two conservative quantities of the problem well.The prior estimation of the finite difference solution is obtained. It is proved that the finite difference scheme is convergent with secondorder and unconditionally stable by discrete functional analysis method. Numerical experiments verify the theoretical results.

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Available abstract

A linear three-level conservative difference scheme for the numerical solution of the initial-boundary value problem of generalized Rosenau-Kawahara equation is proposed. The difference scheme simulates two conservative quantities of the problem well.The prior estimation of the finite difference solution is obtained. It is proved that the finite difference scheme is convergent with secondorder and unconditionally stable by discrete functional analysis method. Numerical experiments verify the theoretical results.

Key concepts: Mathematics, Finite difference method, Finite difference scheme, Finite difference, Central differencing scheme, Applied mathematics, Finite difference coefficient, Scheme (mathematics)

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