用差分方法求解一类二阶两点边值问题  

Using Difference Method to Solve Second Order Two-Point Boundary Value Problem

作　　者：邹序焱[1] 

机构地区：[1]宜宾学院数学学院,四川宜宾644000

出　　处：《湖南工业大学学报》2012年第3期13-15,共3页Journal of Hunan University of Technology

基　　金：宜宾学院科研基金资助项目(2011Q25)

摘　　要：对一类二阶两点边值问题给出一种差分算法。该算法具有二阶精度,差分格式的系数矩阵为三对角矩阵,可用追赶法求解,并通过实例验证了算法的精度。Presents a difference method to solve a second order two-point boundary value problem.The method has second-order accuracy,the coefficient matrix is tridiagonal matrix,and Thomas method is used to get the solutions.Through an example verifies the accuracy of the algorithm.

关 键 词：常微分方程 边值问题 差分算法 追赶法 

分 类 号：O241.81[理学—计算数学]