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J4 ›› 2013, Vol. 48 ›› Issue (10): 105-110.

• 论文 • 上一篇    

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

陈一鸣,解加全,苑润浩,郝晓光   

  1. 燕山大学理学院, 河北 秦皇岛 066004
  • 收稿日期:2013-04-02 发布日期:2013-10-14
  • 作者简介:陈一鸣(1957- ),男,教授,硕士生导师,研究方向为边界元和分数阶微分方程数值解. Email:xjq371195982@163.com
  • 基金资助:

    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)

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

CHEN Yi-ming, XIE Jia-quan, YUAN Run-hao, HAO Xiao-guang   

  1. College of Science, Yanshan University, Qinhuangdao 066004, Hebei, China
  • Received:2013-04-02 Published:2013-10-14

摘要:

为了求解非线性Volterra-0Fredholm-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。

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

Abstract:

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 equations by using BPFs as basis functionand combined with its orthogonally properties,and numerical solution of the original equation are obtained after discreting type of unknown variables. The numerical results show that the method is feasible and effective.

Key words: Block Pulse functions; nonlinear Volterra-Fredholm-Hammerstein integral equation; nonlinear algebraic equations; numerical solution

中图分类号: 

  • O241.8
[1] 李志涛 付红斐. 对流占优扩散问题的特征动态有限元方法[J]. J4, 2009, 44(8): 90-96.
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