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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
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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.
作者 韩惠丽 王延新
机构地区 宁夏大学数学计算机学院 武汉大学数学与统计学院
出处 《安徽大学学报（自然科学版）》 CAS 北大核心 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)
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 system of linear integro-differential equations CAS wavelets operational matrix product operational matrix
分类号 O175 [理学—基础数学]
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参考文献12

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安徽大学学报（自然科学版）
2012年 第5期

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