| 具有任意激励的非齐次线性自治系统的齐次扩容精细算法 |
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| 引用本文： | 王龙,周钢.具有任意激励的非齐次线性自治系统的齐次扩容精细算法[J].上海理工大学学报,2006,28(2):128-132. |
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| 作者姓名： | 王龙 周钢 |
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| 作者单位： | 上海交通大学,理学院,上海,200240 |
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| 基金项目： | 中国科学院资助项目;重庆市应用基础研究基金 |
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| 摘 要： | 基于第二类Chebyshev多项式函数系的特点与齐次扩容技巧,设计了求解非齐次线性自治系统的一种新的长效精细算法(HHPD CS).其不仅避免了HPD F算法中的矩阵求逆,还克服了HH-PD F算法中对右端激励的周期性要求,从而适合于任意形式的右端激励.理论与算例表明,长效HHPD CS算法十分有效,不仅计算量比R K算法小许多,而且数值稳定、计算精度高、设计合理,易于推广和实现.
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| 关 键 词： | 第二类Chebyshev多项式 精细算法 非齐次线性自治系统 齐次扩容精细算法 |
| 文章编号： | 1007-6735（2006）02-0128-05 |
| 收稿时间： | 2005-07-14 |
| 修稿时间： | 2005年7月14日 |
New homogenized high precision direct integration to solve non-homogeneous autonomy system with arbitrary stimulus |
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| WANG Long,ZHOU Gang.New homogenized high precision direct integration to solve non-homogeneous autonomy system with arbitrary stimulus[J].Journal of University of Shanghai For Science and Technology,2006,28(2):128-132. |
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| Authors: | WANG Long ZHOU Gang |
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| Institution: | School of Sciences, Shanghai Jiaotong University, Shanghai 200240, China |
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| Abstract: | A new longtermeffective HPD method in short named HHPDCS is devised to solve nonhomogeneous linear autonomy system based on Chebyshev orthogonal polynomials series of the second kind and homogenized integration technique.The algorithm can avoid inversing matrixes from which HPDF suffers and conquer the restriction that stimulus must be periodic,from which HHPDF suffers,so the method can be used for any kind of right stimulus.The results of the two examples discussed show that the longtermeffective HHPDCS is more effective.In addition,HHPDCS has several other advantages,such as simpler in designing and computational format,more precise,easier to be generalized and implemented etc. |
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| Keywords: | Chebyshev polynomial of the second kind high precise direct non-homogeneous linear autonomy system homogenized high precise direct integration |
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