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A Three-level Conservative Difference Scheme for Generalized Rosenau Equation

LI Hong-e

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Abstract

The numerical solution to the problem of generalized Rosenau equation with initial-boundary value is considered.A finite difference scheme of three levels is proposed.This scheme can be used to simulate the conservation properties of the problem well.It is proved that the finite difference scheme is convergent with order 2 and stable without condition by discrete functional analytical method.The numerical examples show this scheme is feasible.

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What this paper is about

The numerical solution to the problem of generalized Rosenau equation with initial-boundary value is considered.A finite difference scheme of three levels is proposed.This scheme can be used to simulate the conservation properties of the problem well.It is proved that the finite difference scheme is convergent with order 2 and stable without condition by discrete functional analytical method.The numerical examples show this scheme is feasible.

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Available abstract

The numerical solution to the problem of generalized Rosenau equation with initial-boundary value is considered.A finite difference scheme of three levels is proposed.This scheme can be used to simulate the conservation properties of the problem well.It is proved that the finite difference scheme is convergent with order 2 and stable without condition by discrete functional analytical method.The numerical examples show this scheme is feasible.

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

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