Block Pulse函数法求解非线性Volterra-Fredholm-Hammerstein积分方程  

Block Pulse functions method for solving nonlinear Volterra-Fredholm-Hammerstein integral equations

作　　者：陈一鸣[1] 解加全[1] 苑润浩[1] 郝晓光[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《山东大学学报（理学版）》2013年第10期105-110,共6页Journal of Shandong University(Natural Science)

基　　金：河北省自然科学基金资助项目(A2012203047);秦皇岛市科学技术与研究规划(201201B019)

摘　　要：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。In order to obtain a numerical solution for nonlinear Volterra-Fredholm-Hammerstein integral equation, the nonlinear Volterra-Fredholrn-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.

关 键 词：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 

分 类 号：O241.8[理学—计算数学]