| Adomian分解法在求解微分方程定解问题中的应用 |
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| 引用本文： | 朱永贵,朝鲁. Adomian分解法在求解微分方程定解问题中的应用[J]. 内蒙古大学学报(自然科学版), 2004, 35(4): 381-385 |
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| 作者姓名： | 朱永贵 朝鲁 |
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| 作者单位： | 中国科学院数学与系统科学研究院应用数学所,北京,100080;内蒙古工业大学基础部,呼和浩特,010062 |
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| 基金项目： | 内蒙古111人才工程和内蒙古教育厅重点领域项目(ZL01008) |
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| 摘 要： | 简要介绍Adomian分解法和Adomian多项式算法;利用计算机代数系统Maple实现了Adomian逆算符方法,即分解法;给出了实现该算法的算例,以验证它的有效性．
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| 关 键 词： | Adomian分解法 Adomian多项式 逆算符 微分方程 符号计算 |
| 文章编号： | 1000-1638(2004)04-0381-05 |
| 修稿时间： | 2003-02-10 |
Adomian Decomposition Method and Its Applications to Initial and Boundary Problems of Differential Equations |
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| ZHU Yong-gui,CHAO Lu. Adomian Decomposition Method and Its Applications to Initial and Boundary Problems of Differential Equations[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2004, 35(4): 381-385 |
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| Authors: | ZHU Yong-gui CHAO Lu |
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| Affiliation: | ZHU Yong-gui~1,CHAO Lu~2 |
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| Abstract: | The Adomian decomposition method and the computational algorithm for generating Adomian Polynomials are described briefly.We have also implemented the Maple program corresponding to it.The Adomian series solutions of the Kdv equation are provided to show the efficiency of the algorithm. |
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| Keywords: | Adomian decomposition method Adomian polynomial inverse operator differential equation symbol calculation |
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