2011International Journal of Pure and Apllied MathematicsRequires access

A CONSERVATIVE FINITE DIFFERENCE SCHEME FOR THE GENERALIZED ROSENAU EQUATION

Min Wang, Desheng Li, Peng Cui

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Abstract

In this paper, a finite difference scheme of the generalized Rose- nau equation is proposed. Existence and uniqueness of numerical solution are proved. The convergent in the order of is showed. Numerical simulations show the method is efficient.

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What this paper is about

In this paper, a finite difference scheme of the generalized Rose- nau equation is proposed. Existence and uniqueness of numerical solution are proved. The convergent in the order of is showed. Numerical simulations show the method is efficient.

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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, a finite difference scheme of the generalized Rose- nau equation is proposed. Existence and uniqueness of numerical solution are proved. The convergent in the order of is showed. Numerical simulations show the method is efficient.

Key concepts: Uniqueness, Mathematics, Central differencing scheme, Finite difference coefficient, Finite difference scheme, Scheme (mathematics), Finite difference, Order (exchange)

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