Fredholm Integro-Differential型方程的Legendre小波方法

journal6 ›› 2009, Vol. 30 ›› Issue (3): 1-5.

• 数学 • 下一篇

Fredholm Integro-Differential型方程的Legendre小波方法

( 西安建筑科技大学理学院,陕西西安 710055)

出版日期:2009-05-25 发布日期:2012-04-23
作者简介:石智(1956-),男,陕西西安人,西安建筑科技大学教授,博士,主要从事小波分析及其应用研究.
基金资助:
国家自然科学基金资助项目(10671151)

Numbrical Solution of Fredholm Integro-Differential Equations by Using Legendre Wavelets

(School of Science,Xi’an Univ. of Arch. Tech.，Xi’an 710055,China)

Online:2009-05-25 Published:2012-04-23

摘要/Abstract

摘要：研究Legendre小波方法求解具有一阶导和二阶导类型的线性Fredholm integro-differential型方程,应用Legendre小波逼近法将这2类方程分别化为代数方程求解.实例说明,Legendre小波在解决这2类方程时具可行性和有效性.

关键词： Legendre小波, integro-differential型方程, 积分算子矩阵

Abstract: Legendre wavelets method is used to solve the first-order and the second-order linear Fredholm integro-differential equations.Legendre wavelet approximation is untilized to reduce the integro-differential to the algebraic equations.Illustrative examples are included to demonstrate the validity and applicability of the technique.

Key words: Legendre wavelets, integro-differential equation, operational matrix of integration

石智, 邓志清. Fredholm Integro-Differential型方程的Legendre小波方法[J]. journal6, 2009, 30(3): 1-5.

SHI Zhi, DENG Zhi-Qing. Numbrical Solution of Fredholm Integro-Differential Equations by Using Legendre Wavelets[J]. journal6, 2009, 30(3): 1-5.

Fredholm Integro-Differential型方程的Legendre小波方法

Numbrical Solution of Fredholm Integro-Differential Equations by Using Legendre Wavelets

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