| 二阶弱奇异Volterra积分微分方程的非多项式样条配置方法 |
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| 引用本文： | 程杞元,冯莉.二阶弱奇异Volterra积分微分方程的非多项式样条配置方法[J].北京理工大学学报,2006,26(2):177-180. |
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| 作者姓名： | 程杞元 冯莉 |
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| 作者单位： | 北京理工大学,理学院,北京,100081;北京理工大学,理学院,北京,100081 |
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| 摘 要： | 研究了二阶弱奇异Volterra积分微分方程的非多项式样条配置,得到了当奇异项指数为有理数时,Volterra积分微分方程解的展开式,由此构造出非多项式样条空间,获得方程在此样条空间中的近似解,并证明了近似解的误差为O(hm).
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| 关 键 词： | Volterra积分微分方程 非多项式 样条配置 误差估计 |
| 文章编号： | 1001-0645(2006)02-0177-04 |
| 收稿时间： | 06 16 2005 12:00AM |
| 修稿时间： | 2005年6月16日 |
Nonpolynomial Spline Collocation Method for Second-Order Volterra Intergro-Differential Equations with Weakly Singular Kernels |
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| CHENG Qi-yuan and FENG Li.Nonpolynomial Spline Collocation Method for Second-Order Volterra Intergro-Differential Equations with Weakly Singular Kernels[J].Journal of Beijing Institute of Technology(Natural Science Edition),2006,26(2):177-180. |
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| Authors: | CHENG Qi-yuan and FENG Li |
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| Institution: | School of Science, Beiilng Institute of Technology, Beijing 100081, China |
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| Abstract: | Nonpolynomial spline collocation method for second-order Volterra intergro-differential(equation) with weakly singular kernels is considered.When the exponent of the singular item in the(equation) is a rational number,expansion of the equation's solution is obtained.A nonpolynomial spline space is constructed.In the space the approximate solution of the equation is obtained and the order of convergence proved to be O(h~m). |
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| Keywords: | Volterra intergro-differential equations nonpolynomial spline collocation evaluation of error |
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