| 求解二维非定常对流扩散方程的高精度指数型差分方法 |
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| 引用本文： | 丁晓燕,冯秀芳.求解二维非定常对流扩散方程的高精度指数型差分方法[J].宁夏大学学报(自然科学版),2014(1):6-13. |
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| 作者姓名： | 丁晓燕 冯秀芳 |
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| 作者单位： | 宁夏大学 数学计算机学院,宁夏银川750021 |
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| 基金项目： | 国家自然科学基金资助项目（11161036） |
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| 摘 要： | 针对二维非定常对流扩散方程,提出了一种高精度指数型差分方法,证明了所构造差分格式的无条件稳定性.通过数值算例验证了差分格式的有效性和合理性,并且对于对流占优问题的求解该方法更优越.
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| 关 键 词： | 非定常 对流扩散方程 高精度指数型差分方法 无条件稳定 |
A High-order Exponential Method for Solving Unsteady Convection-diffusion Equation |
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| Ding Xiaoyan,Feng Xiufang.A High-order Exponential Method for Solving Unsteady Convection-diffusion Equation[J].Journal of Ningxia University(Natural Science Edition),2014(1):6-13. |
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| Authors: | Ding Xiaoyan Feng Xiufang |
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| Institution: | (School of Mathematics and Computer Science, Ningxia University, Yinehuan 750021, China) |
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| Abstract: | A high-order exponential method for solving two dimensional unsteady convection-diffusion equation is developed. The stability of the constructed difference scheme is proved, and numerical examples are presented for the effectiveness and reasonableness of the established difference scheme, and the results show that the present scheme can get excellent solutions for convection dominated problems. |
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| Keywords: | unsteady convection-diffusion equation high-order exponential difference scheme unconditionally stable |
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