| 求解一类奇异两点边值问题 |
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| 引用本文： | 郭丽华,王艳石,么焕民.求解一类奇异两点边值问题[J].哈尔滨师范大学自然科学学报,2010,26(4):68-70. |
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| 作者姓名： | 郭丽华 王艳石 么焕民 |
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| 作者单位： | 哈尔滨师范大学 |
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| 基金项目： | 哈尔滨师范大学博士启动基金资助项目 |
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| 摘 要： | 运用再生核方法给出了求解一类奇异两点边值问题新的数值方法,构造了精确解的级数形式表达式,证明了近似解及其各阶导函数一致收敛到精确解及其各阶导函数,数值算例验证了方法的有效性.
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| 关 键 词： | 奇异 边值问题 再生核 收敛性 |
Solving a Class of Singular Two-Point Boundary Value Problems |
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| Guo Lihua,Wang Yanshi,Yao Huanmin.Solving a Class of Singular Two-Point Boundary Value Problems[J].Natural Science Journal of Harbin Normal University,2010,26(4):68-70. |
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| Authors: | Guo Lihua Wang Yanshi Yao Huanmin |
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| Institution: | (Harbin Normal University) |
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| Abstract: | In this paper,a new numerical algorithm for solving a class of singular two-point boundary value problems in the reproducing kernel space is set up,and the representation of the exact solution is given in the form of series.The numerical solution is proved to uniformly converge to the exact one.Numerical example is proved that the algorithm is of high precision. |
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| Keywords: | Singular Boundary value problem Reproducing kernel Convergence |
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