数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2009年
4期
411-417
,共7页
Legendre小波%integro-differential型方程%积分算子矩阵
Legendre小波%integro-differential型方程%積分算子矩陣
Legendre소파%integro-differential형방정%적분산자구진
Legendre wavelets%integro-differential equation%operational matrix of integration
研究Legeadre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小波逼近法把这两类方程分别化为代数方程求解.实例说明,Legendre小波在解决这两类方程时的可行性和有效性.
研究Legeadre小波方法求解具有一階導和二階導類型的線性Fredholm integro-differential型方程,應用Legendre小波逼近法把這兩類方程分彆化為代數方程求解.實例說明,Legendre小波在解決這兩類方程時的可行性和有效性.
연구Legeadre소파방법구해구유일계도화이계도류형적선성Fredholm integro-differential형방정,응용Legendre소파핍근법파저량류방정분별화위대수방정구해.실례설명,Legendre소파재해결저량류방정시적가행성화유효성.
We use Legendre wavelets method 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.