2010Journal of Tianjin Normal UniversityRequires access

Non-uniform finite difference scheme method for convection-diffusion equations

Haitao Qi

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Abstract

A second-order non-uniform finite difference scheme is constructed,and the truncation error and its stability are given.Several different mesh methods are used to deal with the problem,and the results show that comparing with the existing finite difference schemes the non-uniform finite difference scheme illustrates a better distribution of the average error.

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What this paper is about

A second-order non-uniform finite difference scheme is constructed,and the truncation error and its stability are given.Several different mesh methods are used to deal with the problem,and the results show that comparing with the existing finite difference schemes the non-uniform finite difference scheme illustrates a better distribution of the average error.

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Available abstract

A second-order non-uniform finite difference scheme is constructed,and the truncation error and its stability are given.Several different mesh methods are used to deal with the problem,and the results show that comparing with the existing finite difference schemes the non-uniform finite difference scheme illustrates a better distribution of the average error.

Key concepts: Finite difference coefficient, Finite difference method, Truncation error, Mathematics, Finite difference scheme, Finite difference, Truncation (statistics), Scheme (mathematics)

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