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应用Legendre小波求解非线性分数阶Volterra积分微分方程 被引量：4

Numerical Solution of Nonlinear Fractional-Order Volterra Integro-Differential Equation by Legendre Wavelets
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摘要 先利用Legendre小波的分数阶积分算子矩阵将非线性分数阶Volterra积分微分方程转化为非线性代数方程组,再通过数值求解方程组得到原方程的数值解,证明了误差边界值,并用算例验证了该方法的有效性和精确性. Nonlinear fractional-order Volterra integro-differential equation was transformed into a system of algebraic equations by Legendre wavelet operational matrix of fractional integration. Numerical solution of original equation was obtained through solving algebraic equations and error bound value was estimated. Finally some examples demonstrate the validity and precision of this method.
作者 黄洁 韩惠丽
机构地区 宁夏大学数学计算机学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2014年第4期655-660,共6页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11261041 11261045)
关键词 VOLTERRA积分微分方程 LEGENDRE小波 分数阶微积分 块脉冲函数 Volterra integro-differential equation Legendre wavelet fractional calculus block pulsefunction
分类号 O175.6 [理学—基础数学]
  • 相关文献

参考文献15

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共引文献23

同被引文献31

  • 1尹建华,任建娅,仪明旭.Legendre小波求解非线性分数阶Fredholm积分微分方程[J].辽宁工程技术大学学报（自然科学版）,2012,31(3):405-408. 被引量：21
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引证文献4

二级引证文献3

吉林大学学报（理学版）
2014年 第4期

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