| Green函数在奇异两点边值问题中的应用 |
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| 引用本文： | 叶唯.Green函数在奇异两点边值问题中的应用[J].杭州师范学院学报(自然科学版),2007,6(1):30-32. |
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| 作者姓名： | 叶唯 |
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| 作者单位： | 杭州师范学院,数学系,浙江,杭州,310036 |
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| 摘 要： | 讨论了一类二阶奇异两点边值问题的一种求解方法.利用Green函数来求特解形式,把原来的二阶微分方程简化成一次积分形式,再由复化梯形公式求积法进行数值求解.应用这种方法求解出一些线性与非线性的问题,并得出其相应的极大误差.
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| 关 键 词： | Green函数 奇异边值问题 梯形公式 数值求解 |
| 文章编号： | 1008-9403(2007)01-0030-03 |
| 修稿时间： | 2006年11月13 |
Application of Green's Function to Singular Two-point Boundary Value Problems |
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| YE Wei.Application of Green''''s Function to Singular Two-point Boundary Value Problems[J].Journal of Hangzhou Teachers College(Natural Science),2007,6(1):30-32. |
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| Authors: | YE Wei |
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| Abstract: | In this paper,we present a method for solving a class of singular second order two-point boundary value problems.First we apply Green's functions in special solution,simplifying the second order problems to the first order integral formulation,then we deal with its numerical solution by the compound trapezoidal formula.This method could be used in some linear and nonlinear problems,and we get their maximum absolute error estimates easily. |
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| Keywords: | Green's functions singular boundary value problems trapezoidal formula numerical solution |
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