| 对流扩散方程的指数型高阶差分格式 |
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| 引用本文： | 魏淑清.对流扩散方程的指数型高阶差分格式[J].琼州学院学报,2005,12(5). |
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| 作者姓名： | 魏淑清 |
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| 作者单位： | 西北第二民族学院,经济管理系,宁夏,银川,750021 |
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| 摘 要： | 提出了求解含源汇项非定常对流扩散方程的一类高精度格式.在离散子域内利用指数变换将对流扩散方程转化成扩散方程.结合已发展的含源扩散方程的一类紧致差分格式,建立了含源汇项非定常对流扩散方程的无条件稳定的、具有迎风效应的指数型四阶紧致差分格式.
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| 关 键 词： | 对流扩散 紧致差分 指数变换 稳定性 |
High - Order Difference Schemes of Exponential Type for Convection Diffusion Equation with Source Term |
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| WEI Shu-qing.High - Order Difference Schemes of Exponential Type for Convection Diffusion Equation with Source Term[J].Journal of Qiongzhou University,2005,12(5). |
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| Authors: | WEI Shu-qing |
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| Abstract: | A high order accuracy compact difference method is presented for soling unsteady convection equation with source term.First,the equation is linearied in the small domain discreted then,the convectiondiffusion equation is transferred to the diffusion equation based on a transformation function of exponential type.Finally,a class of non-condition stable and upwind type compact difference schemes which has fourth order is constructed by utilizing the high order compact finite-difference schemes proposed by author for the diffusion inhomogeneous equation. |
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| Keywords: | convection-diffusion compact difference transformation function of exponential type stability |
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