辽宁工程技术大学学报（自然科学版）Issue(4)：573-576,4.
Legendre 小波在非线性分数阶微分方程中的应用
Application of Legendre wavelet in nonlinear fractional differential equations
摘要
Abstract
In order to obtain a numerical solution for nonlinear 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 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 numerical example demonstrates the effectiveness and feasibility of the method proposed.关键词
分数阶微分/非线性/Legendre 小波/Legendre 多项式/算子矩阵/block pulse 函数/数值解/Caputo导数Key words
differential equations/nonlinear/Legendre wavelet/operational matrix/block pulse function/numerical solution/Legendre polynomials/Caputo derivative分类
数理科学引用本文复制引用
陈一鸣,孙慧,刘丽丽,孙璐..Legendre 小波在非线性分数阶微分方程中的应用[J].辽宁工程技术大学学报（自然科学版）,2013,(4):573-576,4.基金项目
河北省自然科学基金资助项目(A2012203047) （A2012203047）
