第二类非线性Fredholm型积分方程数值解  

Numerical Solutions of Nonlinear Fredholm Integral Equations of the Second Kind

作　　者：刘唐伟[1] 应正卫[1] 吴志强[1] 

机构地区：[1]东华理工学院数学与信息科学学院,江西抚州344000

出　　处：《东华理工学院学报》2005年第3期294-296,共3页Journal of East China Institute of Technology

基　　金：江西省自然科学基金(0511005);江西省教育厅科技项目([2005]213);东华理工学院院长基金(DHY0454)

摘　　要：配置法研究了地球物理中常见的第二类非线性Fredholm型积分方程的数值解法,将第二类非线性Fredholm型积分方程转化为非线性代数方程组进行求解,采用高斯数值积分公式,给出了数值计算的具体实例。利用Matlab软件的符号运算功能编程计算,克服了非线性方程难于变成求解的困难,数值例子表明该方法编程简便有效。对非线性积分方程和非线性代数方程组的求解都有重要价值。The collocation method is used to solve nonlinear Fredholm integral equations of the Second kind in geophysical problems. We transform nonlinear Fredholm Integral Equations into the nonlinear algebraic equations, then solve the algebraic equaitons. Numerical experiments are given with Gauss numerical integral formulas. Programming is based on the symbol function of Matlab software. This paper solves the problem of hard-programming of the nonlinear equations. Numerical experiments show the efficiency of the method. The article is valuable for solving nonlinear integral equationsand nonlinear algebraic equations.

关 键 词：非线性Fredholm积分方程 投影配置法 数值解 MATLAB软件 

分 类 号：O175.14[理学—数学]