吉林大学学报（理学版）Issue(4)：655-660,6.DOI:10.13413/j.cnki.jdxblxb.2014.04.03
应用 Legendre 小波求解非线性分数阶 Volterra 积分微分方程
Numerical Solution of Nonlinear Fractional-Order Volterra Integro-Differential Equation by Legendre Wavelets
摘要
Abstract
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.关键词
Volterra 积分微分方程/Legendre 小波/分数阶微积分/块脉冲函数Key words
Volterra integro-differential equation/Legendre wavelet/fractional calculus/block pulse function分类
数理科学引用本文复制引用
黄洁,韩惠丽..应用 Legendre 小波求解非线性分数阶 Volterra 积分微分方程[J].吉林大学学报（理学版）,2014,(4):655-660,6.基金项目
国家自然科学基金(批准号:11261041 （）
11261045) （）
