| 产生和求解PDEs对称确定方程组的微分特征列集算法理论及其应用 |
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| 引用本文： | 朝鲁.产生和求解PDEs对称确定方程组的微分特征列集算法理论及其应用[J].内蒙古大学学报(自然科学版),1998,29(3):305-310. |
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| 作者姓名： | 朝鲁 |
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| 作者单位： | 内蒙古工业大学基础部 |
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| 摘 要： | 基于作给出的吴－微分特征列集算法理论，给出了计算微分方程对称的关键一产生和求解确方程组的特征列集算法。
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| 关 键 词： | 偏微分方程 对称 特征列集法 计算机代数 PDEs |
Differential Characteristic Algorithm Theory for Producing and Solving Determining Equations of PDEs Symmetries and Its Applications |
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| Chao Lu.Differential Characteristic Algorithm Theory for Producing and Solving Determining Equations of PDEs Symmetries and Its Applications[J].Acta Scientiarum Naturalium Universitatis Neimongol,1998,29(3):305-310. |
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| Authors: | Chao Lu |
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| Abstract: | Based on the Wu Ritt Characteristic set theory for computing symmetry of partial differential equations (PDEs),given by author 1 ,a differential Characteristic Algorithm for producing and solving Determining Equations of PDEs Symmetries is given,the algorithm is implemented successfully by Computer Algebra System Mathematica 1.2 for DOS.As an application of our algorithm,new classical symmetries of plane stress equations are calculated. |
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