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

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.