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2011•Harbin Ligong Daxue xuebaoOpen access

A New Conservation Difference Approximation for Generalized Regularized Long Wave Equation

Jin‐Song Hu

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Abstract

The numerical solution to an initial-boundary value problem of generalized regularized long wave equation(GRLW) is considered.A finite difference scheme of three levels is proposed.This scheme simulates the conservation properties of the problem well.It is proved that the finite difference scheme is convergent with second order and stable without condition by discrete functional analysis method.The numerical examples show this scheme is feasible.

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What this paper is about

The numerical solution to an initial-boundary value problem of generalized regularized long wave equation(GRLW) is considered.A finite difference scheme of three levels is proposed.This scheme simulates the conservation properties of the problem well.It is proved that the finite difference scheme is convergent with second order and stable without condition by discrete functional analysis method.The numerical examples show this scheme is feasible.

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Available abstract

The numerical solution to an initial-boundary value problem of generalized regularized long wave equation(GRLW) is considered.A finite difference scheme of three levels is proposed.This scheme simulates the conservation properties of the problem well.It is proved that the finite difference scheme is convergent with second order and stable without condition by discrete functional analysis method.The numerical examples show this scheme is feasible.

Key concepts: Mathematics, Finite difference scheme, Conservation law, Scheme (mathematics), Finite difference method, Finite difference coefficient, Finite difference, Boundary value problem

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