| 非线性两点边值问题的反插值Volterra型积分方程解法 |
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| 引用本文： | 付宇,肖继红,吕涛.非线性两点边值问题的反插值Volterra型积分方程解法[J].成都大学学报(自然科学版),2010,29(2):120-123,129. |
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| 作者姓名： | 付宇 肖继红 吕涛 |
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| 作者单位： | 四川大学,数学学院,四川,成都,610064;四川理工学院,理学院,四川,自贡,643000;四川大学,数学学院,四川,成都,610064 |
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| 摘 要： | 对原为第一类边值问题的非线性常微分方程采用并行打靶的方法,寻求原问题相对应的初值问题,将其转换为Volterra型积分方程组离散求解,并采用外推技术进一步提高解的精度.同时,对问题的存在性,唯一性,以及算法的收敛性均进行了讨论,并取得较好的数值结果.
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| 关 键 词： | 二阶非线性微分方程 并行打靶 反插值 外推 |
Volterra Integral Equation Solution of Reverse Interpolating Obtained from Nonlinear Two-point Boundary Value |
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| FU Yu,XIAO Jihong,LV Tao.Volterra Integral Equation Solution of Reverse Interpolating Obtained from Nonlinear Two-point Boundary Value[J].Journal of Chengdu University (Natural Science),2010,29(2):120-123,129. |
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| Authors: | FU Yu XIAO Jihong LV Tao |
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| Institution: | FU Yu1,2,XIAO Jihong1,LV Tao1(1.School of Mathematics,Sichuan University,Chengdu 610064,China,2.School of Science,Sichuan University of Science and Engineering,Zigong 643000,China) |
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| Abstract: | Parallel shooting method was used to transform the boundary problem into initial problem,further transform it into integral equations and seek its discrete solution by using trapezoid formula.In order to achieve better precision order,extrapolation techniques were used too.The problems of existence,uniqueness,convergence of the algorithm were discussed,and had good numerical results. |
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| Keywords: | second order nonlinear differential equation parallel shooting reverse interpolating extrapolation |
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