| 非线性两点边值问题的六阶三对角差分法 |
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| 引用本文： | 周保民. 非线性两点边值问题的六阶三对角差分法[J]. 中国空间科学技术, 1992, 12(1): 44-49 |
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| 作者姓名： | 周保民 |
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| 作者单位： | 北京卫星信息工程研究所 |
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| 摘 要： | 讨论了满足边界条件y(a)=A 和y(b)=B 的二阶非线性常微分方程y″=f(x,y)的六阶三对角差分法,并从理论和实际计算证明了该方法的六阶收敛性。
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| 关 键 词： | 边值问题 有限差分理论 |
A SIXTH ORDER TRIDIAGONAL DIFFERENCE METHOD FOR NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEM |
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| Zhou Baomin. A SIXTH ORDER TRIDIAGONAL DIFFERENCE METHOD FOR NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEM[J]. Chinese Space Science and Technology, 1992, 12(1): 44-49 |
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| Authors: | Zhou Baomin |
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| Affiliation: | Beijing Institute of Satellite Information Engineering |
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| Abstract: | This paper presents a new sixth order finite difference methodto solve the second order nonlinear differential equation y″=f(x,y),subjectto the boundary conditions y(a)=A,y(b)=B.The sixth order convergenceof this method has been proved by theoretical deduction and actual calcu-lation. |
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| Keywords: | Boundary value problem Finite difference theory Calculation Analyzing |
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