CAJ | 학술논문

提出了利用Legendre小波解第二类非线性Fredhlm积分方程的小波Galerkin近似方法.积分方程的非线性部分由在区间[a,b]上构造的Legendre小波进行逼近,而且将非线性积分方程化简为非线性积分方程组.给出的例子说明了此逼近方法的有效性和可操作性.
제출료이용Legendre소파해제이류비선성Fredhlm적분방정적소파Galerkin근사방법.적분방정적비선성부분유재구간[a,b]상구조적Legendre소파진행핍근,이차장비선성적분방정화간위비선성적분방정조.급출적례자설명료차핍근방법적유효성화가조작성.
A wavelet Galerkin approximation scheme for solving nonlinear Fredholm integral equations of the second kind using Legendre wavelets was presented.The nonlinear part of the integral equation was approximated by Legendre wavelets constructed on the interval[a,b],and then the nonlinear integral equation was reduced to a system of nonlinear equations.Illustrative examples were included to demonstrate the validity and applicability of the approximation scheme.