| 分数阶第一类Volterra积分方程小波数值解 |
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| 引用本文： | 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 |
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| 作者姓名： | 朱双云 苗福生 韩惠丽 |
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| 作者单位： | 1. 宁夏大学数学计算机学院,宁夏银川,750021
2. 宁夏大学土木与水利工程学院,宁夏银川 750021;宁夏大学学术期刊中心,宁夏银川 750021 |
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| 基金项目： | 宁夏自然科学基金资助项目，宁夏大学自然科学基金资助项目 |
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| 摘 要： | 利用Haar小波求解分数阶第一类Volterra积分方程，主要采用配置法将积分方程转化为线性方程组．证明了解的存在性，并且给出了数值解的误差估计，数值算例表明了算法的有效性．
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| 关 键 词： | 分数阶Volterra积分方程 Haar小波 配置法 数值解 |
Numerical Solution of Fractional Volterra Integral Equation of the First Kind with Wavelet Method |
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| Zhu Shuangyun , Miao Fusheng , Han Huili. Numerical Solution of Fractional Volterra Integral Equation of the First Kind with Wavelet Method[J]. Journal of Ningxia University(Natural Science Edition), 2012, 33(2): 130-134 |
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| Authors: | Zhu Shuangyun Miao Fusheng Han Huili |
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| Affiliation: | 1*) (1.School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,China; 2.School of Civil Engineering and Water Conservancy,Ningxia University,Yinchuan 750021,China; 3.Academic Journal Center,Ningxia University,Yinchuan 750021,China ) |
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| 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. |
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| Keywords: | fractional Volterra integral equation Haar wavelet collocation method numerical solution |
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