| 双重分解法及其与Adomian分解法的比较 |
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| 引用本文： | 潘平,朱永贵.双重分解法及其与Adomian分解法的比较[J].中国传媒大学学报,2009,16(3):15-18. |
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| 作者姓名： | 潘平 朱永贵 |
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| 作者单位： | 中国传媒大学理学院应用数学系,北京,100024;中国传媒大学理学院应用数学系,北京,100024 |
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| 摘 要： | 在求解初边值问题Adomian分解法的基础上,研究了求二维偏微分方程边值问题的双重Adomian分解法,对Adomian分解法的初始项作了进一步分解,使逆算符分解法得到了改进.通过具体微分方程算例对双重分解法和Adomian分解法进行了比较,验证了双重分解算法的有效性.这一改进的分解算法既能提高精度又能减少计算量,而且还使各级近似解都能准确满足全部初边值条件.
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| 关 键 词： | 双重分解法 Adomian分解法 偏微分方程边值问题 逆算符 |
Comparison Between Adomian Double Decomposion Method and Adomian Decomposion Method |
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| PAN Ping,ZHU Yong-gui.Comparison Between Adomian Double Decomposion Method and Adomian Decomposion Method[J].Journal of Communication University of China Science and TEchnology,2009,16(3):15-18. |
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| Authors: | PAN Ping ZHU Yong-gui |
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| Institution: | PAN Ping,ZHU Yong-gui(Department of Applied Mathematics,Science School,Communication University of China,Beijing 100024,China) |
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| Abstract: | Based upon Adomian decomposition method,we have studied Adomian double decomposition method in this paper.The initial term in Adomian decomposition method has been further decomposed,and modified inverse vector method is obtained.The efficiency of double decomposition method is verified by the comparison between double decomposition method and Adomian decomposition method for solving differential equations.The experimental results demonstrate that the Adomian double decomposition method is better than the A... |
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| Keywords: | double decomposition method Adomian decomposition method partial differential equation boundary problems inverse operator |
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