辽宁工程技术大学学报（自然科学版）2012，Vol.31Issue(3)：405-408,4.
Legendre小波求解非线性分数阶Fredholm积分微分方程
Legendre wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order
摘要
Abstract
In order to obtain a numerical solution for nonlinear Fredholm integro-differential equations of fractional order, this study obtains Legendre wavelet through Legendre polynomial. Subsequently, it derives the integral operational matrix of fractional order of Legendre wavelet through block pulse functions. Furthermore, the nonlinear Fredholm integro-differential equations are transformed into a nonlinear system of algebraic equations using the properties of block pulse functions and the integral operational matrix of fractional order of Legendre wavelet. Therefore, the numerical solution of original equations can be obtained. The results show that with the increase of points, the precision of numerical solution is increasing. The numerical example demonstrates the effectiveness and feasibility of the method proposed.关键词
Legendre多项式/Legendre小波/Fredholm积分微分方程/非线性/block pulse函数/算子矩阵/分数阶微分/数值解Key words
Legendre polynomial/ Legendre wavelet/ Fredholm integro-differential equations/ nonlinear/ blockpulse function/ operational matrix/ fractional derivatives/ numerical solution分类
数理科学引用本文复制引用
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):405-408,4.基金项目
河北省自然科学基金资助项目(A2011205092) （A2011205092）
