| 两点边值问题的一次有限体积元方法 |
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| 引用本文： | 闫金亮.两点边值问题的一次有限体积元方法[J].南平师专学报,2013(2):47-50. |
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| 作者姓名： | 闫金亮 |
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| 作者单位： | 武夷学院数学与计算机学院,福建武夷山354300 |
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| 摘 要： | 本文运用有限体积元方法分析求解两点边值问题,分别选取试探函数空间和检验函数空间为一次元函数空间和分片常数函数空间,并且给出最佳收敛阶估计,通过数值实验与有限差分方法进行分析和比较,理论分析和数值实验表明格式简单而有效。
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| 关 键 词： | 两点边值问题 有限体积元方法 误差估计 |
One Order Finite Volume Element Method for the Two-Point Boundary Value Problem |
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| YAN Jinliang.One Order Finite Volume Element Method for the Two-Point Boundary Value Problem[J].Journal of Nanping Teachers College,2013(2):47-50. |
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| Authors: | YAN Jinliang |
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| Institution: | YAN Jinliang (School of Mathematics and Computer Science, WuYi University,Wuyishan, Fujian 354300) |
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| Abstract: | A fnite volume element method is used to solve two-point boundary value problem. Trial function space and test function space are respectively chosen as linear element function space and piecewise constant function space. The optimal error estimate is obtained. Numerical solutions of FVM and FDM are simply analyzed and compared. It shows that the FVM＇s difference scheme is simple and effective. |
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| Keywords: | two-point boundary value problem finite volume element method error estimate |
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