| 解非线性两点边值问题差分逼近的同伦算法 |
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| 引用本文： | 谷秀川,崔成贤. 解非线性两点边值问题差分逼近的同伦算法[J]. 佳木斯大学学报, 1996, 0(3) |
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| 作者姓名： | 谷秀川 崔成贤 |
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| 作者单位： | 佳木斯工学院基础部 |
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| 摘 要： | 本文使用连续化同伦方法解决了求解非线性两点边值问题的差分逼近，证明了同伦路径的存在性，并给出了一种求解上述问题的数值算法，这种方法关于初值的选取是大范围收敛的．
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| 关 键 词： | 非线性两点边值问题 差分逼近 同伦算法 |
SOLVING FINITE DIFFERENCE APPROXIMATIONS TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS BY A GLOBALLY CONVERGENT HOMOTOPY METHODS |
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| Gu Xiuchuan, Cui Chengxian. SOLVING FINITE DIFFERENCE APPROXIMATIONS TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS BY A GLOBALLY CONVERGENT HOMOTOPY METHODS[J]. Journal of Jiamusi University(Natural Science Edition), 1996, 0(3) |
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| Authors: | Gu Xiuchuan Cui Chengxian |
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| Affiliation: | Jiamusi Technology Institute |
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| Abstract: | In this paper,We give a homotopy method for finite difference approximations of a class of nonlinear two-point boundary value problems,and prove existence of homotopy path. Moreover,a globally convergent numerical algorithm is given also. |
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| Keywords: | nonlinear two-point boundary value problems finite difference approximations homotopy algorithm |
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