山东大学学报（理学版）
山東大學學報（理學版）
산동대학학보（이학판）
JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
2013年
10期
105-110
,共6页
陈一鸣%解加全%苑润浩%郝晓光
陳一鳴%解加全%苑潤浩%郝曉光
진일명%해가전%원윤호%학효광
Block Pulse函数%非线性Volterra-Fredholm-Hammerstein积分方程%非线性代数方程组%数值解
Block Pulse函數%非線性Volterra-Fredholm-Hammerstein積分方程%非線性代數方程組%數值解
Block Pulse함수%비선성Volterra-Fredholm-Hammerstein적분방정%비선성대수방정조%수치해
Block Pulse functions%nonlinear Volterra-Fredholm-Hammerstein integral equation%nonlinear algebraic e-quations%numerical solution
为了求解非线性Volterra-Fredholm-Hammerstein积分方程的数值解，利用BPFs为基函数，结合其正交性等特性将非线性Volterra-Fredholm-Hammerstein积分方程转化为非线性代数方程组，对式中的未知量进行离散，求得原方程的数值解。数值结果表明，该方法可行且有效。
為瞭求解非線性Volterra-Fredholm-Hammerstein積分方程的數值解，利用BPFs為基函數，結閤其正交性等特性將非線性Volterra-Fredholm-Hammerstein積分方程轉化為非線性代數方程組，對式中的未知量進行離散，求得原方程的數值解。數值結果錶明，該方法可行且有效。
위료구해비선성Volterra-Fredholm-Hammerstein적분방정적수치해，이용BPFs위기함수，결합기정교성등특성장비선성Volterra-Fredholm-Hammerstein적분방정전화위비선성대수방정조，대식중적미지량진행리산，구득원방정적수치해。수치결과표명，해방법가행차유효。
In order to obtain a numerical solution for nonlinear Volterra-Fredholm-Hammerstein integral equation, the nonlinear Volterra-Fredholm-Hammerstein integral equations are transformed into a nonlinear system of algebraic equa-tions by using BPFs as basis functionand combined with its orthogonally properties,and numerical solution of the origi-nal equation are obtained after discreting type of unknown variables.The numerical results show that the method is fea-sible and effective.
