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2010•Journal of Southwest China Normal UniversityRequires access

A New Conservative Difference Scheme for Rosenau Equation

Yulan Wang

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Abstract

The numerical solution for an initial-boundary value problem of Rosenau equation is considered.An implicit finite difference of three levels is proposed.This scheme simulates the conservation properties of the problem well.And the prior estimate of the solution is obtained.It is proved that the finite difference scheme is convergent with order 2and stable by the discrete functional analysis.Numerical examples demonstrate the theoretical results.

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What this paper is about

The numerical solution for an initial-boundary value problem of Rosenau equation is considered.An implicit finite difference of three levels is proposed.This scheme simulates the conservation properties of the problem well.And the prior estimate of the solution is obtained.It is proved that the finite difference scheme is convergent with order 2and stable by the discrete functional analysis.Numerical examples demonstrate the theoretical results.

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Available abstract

The numerical solution for an initial-boundary value problem of Rosenau equation is considered.An implicit finite difference of three levels is proposed.This scheme simulates the conservation properties of the problem well.And the prior estimate of the solution is obtained.It is proved that the finite difference scheme is convergent with order 2and stable by the discrete functional analysis.Numerical examples demonstrate the theoretical results.

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

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