宁夏大学学报(自然科学版)2012,Vol.33Issue(2):130-134,5.
分数阶第一类Volterra积分方程小波数值解
Numerical Solution of Fractional Volterra Integral Equation of the First Kind with Wavelet Method
摘要
Abstract
Fractional Volterra integral equation of the first kind is solved by using Haar wavelet. The integral equation is reduced to a linear system of equation by using Haar wavelet basis and collocation method. The existence of solution is proved. Furthermore, an estimation of error bound for numerical solution is given. The efficiency of the method is demonstrated by numerical example.关键词
分数阶Volterra积分方程/Haar小波/配置法/数值解Key words
fractional Volterra integral equation/ Haar wavelet / collocation method/ numerical solution分类
数理科学引用本文复制引用
朱双云,苗福生,韩惠丽..分数阶第一类Volterra积分方程小波数值解[J].宁夏大学学报(自然科学版),2012,33(2):130-134,5.基金项目
宁夏自然科学基金资助项目(NZ1101) (NZ1101)
宁夏大学自然科学基金资助项目(NDZR10-32) (NDZR10-32)