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。
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.
出处
《武夷学院学报》
2013年第2期47-50,共4页
Journal of Wuyi University
关键词
两点边值问题
有限体积元方法
误差估计
two-point boundary value problem
finite volume element method
error estimate