| 龙格—库塔方法与差分法的比较 |
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| 引用本文： | 吴志强,张晏铭,秦浩东.龙格—库塔方法与差分法的比较[J].成都大学学报(自然科学版),2014,33(4):337-338,346. |
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| 作者姓名： | 吴志强 张晏铭 秦浩东 |
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| 作者单位： | 长春工业大学基础科学学院,吉林长春,130012 |
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| 基金项目： | 国家自然科学基金，吉林省科技厅基础科学研究 |
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| 摘 要： | 利用Taylor级数展开而构造出的龙格—库塔方法是具有高精度的一种算法.将二阶龙格—库塔方法与差分方法的多种计算格式在求解扩散方程中进行了对比.结果表明,当网格比固定时,龙格—库塔方法在计算精度和计算速度上具有明显优势.
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| 关 键 词： | 龙格—库塔方法 Taylor级数 有限差分法 |
Comparison of Runge-Kutta Method and Difference Method |
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| WU Zhiqiang,ZHANG Yanming,QIN Haodong.Comparison of Runge-Kutta Method and Difference Method[J].Journal of Chengdu University (Natural Science),2014,33(4):337-338,346. |
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| Authors: | WU Zhiqiang ZHANG Yanming QIN Haodong |
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| Institution: | WU Zhiqiang;ZHANG Yanming;QIN Haodong;School of Fundamental Sciences,Changchun University of Technology; |
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| Abstract: | The Runge-Kutta method which is constructed from a Taylor expansion is an algorithm with high precision. This paper compares the second order Runge-Kutta method with many computational formats of difference method in solving the diffusion equation. The results show that the Runge-Kutta method has obvious advantages on calculation accuracy and speed when the grid ratio is fixed. |
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| Keywords: | Runge-Kutta method Taylor series finite difference method |
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