Legendre算子矩阵求解分数阶微分方程  

Legendre operator matrix for solving fractional differential equations

作　　者：刘乐春[1] 耿万海[1] 王栋[1] 李裕莲[1] 陈一鸣[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《燕山大学学报》2013年第5期466-470,共5页Journal of Yanshan University

基　　金：河北省自然科学基金资助项目(A2012203047);秦皇岛市科学技术研究与发展计划项目(201201B019;201302A023)

摘　　要：本文考虑用勒让德(Legendre)算子矩阵求解分数阶微分方程的数值解。这种方法是取勒让德多项式的有限项,把勒让德多项式和算子矩阵结合起来,对给定的函数做了有效的离散,将分数阶微分方程转化为代数方程组,使得计算更简便,并给出数值算例验证了方法的有效性。In this paper, Legendre operator matrix is applied to solve fractional order differential equations. This method is to take the limited items of the Legendre polynomial, which combined the Legendre polynomials with operator matrix. The given function is discretized effectively, the fractional order differential equation is transformed into algebraic equations and computation became convenient. The numerical example shows that the method is effective.

关 键 词：算子矩阵 分数阶微分方程 代数方程组 

分 类 号：O175[理学—数学]