| 求解两点边值问题的一种高精度通用精细积分算法 |
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| 引用本文： | 张光辉,任敏. 求解两点边值问题的一种高精度通用精细积分算法[J]. 青岛大学学报(自然科学版), 2012, 25(3): 1-4 |
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| 作者姓名： | 张光辉 任敏 |
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| 作者单位： | 1. 宿州学院数学与统计学院
2. 宿州学院智能信息处理开放实验室 安徽,宿州,234000 |
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| 基金项目： | 安徽省高校优秀青年人才基金，宿州学院科研开放平台项目，宿州学院教学研究项目 |
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| 摘 要： | 讨论两点边值问题的数值解法,将边值问题转化为初值问题,针对打靶法的不足,将初值问题与误差梯度控制方程合并,提出了一种高精度精细积分算法,算例验证了该方法的有效性.
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| 关 键 词： | 边值问题 打靶法 精细积分 |
A High-precision Precise Integration Algorithm for Solving Two Point Boundary Value Problem |
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| Zhang Guang-hui , Ren Min. A High-precision Precise Integration Algorithm for Solving Two Point Boundary Value Problem[J]. Journal of Qingdao University(Natural Science Edition), 2012, 25(3): 1-4 |
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| Authors: | Zhang Guang-hui Ren Min |
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| Affiliation: | 1.Suzhou University School of Mathematics and Statistics;2.Intelligent Informational Processing Open Laboratory,Suzhou University,Anhui Suzhou 234000) |
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| Abstract: | This paper studies numerical method for solving two point boundary value problem,and translates the boundary value problem into initial one.In view of the weakness of the shooting method,the initial value problem and the equation which controls the error gradient are combined.A high-precision precise integration algorithm is presented,and numerical example shows the effectiveness of the method. |
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| Keywords: | boundary value problem shooting method precise integration |
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