线性积分-微分方程组的CAS小波数值解法(英文)  

Solving system of linear integro-differential equations by using CAS wavelets method

作　　者：韩惠丽[1] 王延新[2] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021 [2]武汉大学数学与统计学院,湖北武汉430072

出　　处：《安徽大学学报（自然科学版）》2012年第5期6-11,共6页Journal of Anhui University(Natural Science Edition)

基　　金：Supported by the National Natural Science Foundation of China(11261041,10962008);the Natural Science Foundation of Ningxia(NZ1101);the Scientific Research Foundation of Ningxia University(NDZR10-32)

摘　　要：利用已建立的CAS小波算子矩阵数值求解一类线性积分-微分方程组,通过CAS小波逼近理论将积分-微分方程组离散化为代数方程组,最后利用数值算例验证数值求解方法的有效性.In this paper, CAS wavelets operational matrix was a direct computational method for solving the system of linear integro-differential equations. CAS wavelets approximating method was utilized to reduce the system of integro-differential equations to some algebraic equations. Some numerical examples were served to illustrate the pertinent features of the method.

关 键 词：线性积分-微分方程组 CAS小波 算子矩阵 乘积算子矩阵 

分 类 号：O175[理学—数学]