Numerical solution of the nonlinear Fredholm integral equations by positive definite functions

Alipanah A; Dehghan M

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Numerical solution of the nonlinear Fredholm integral equations by positive definite functions

机译：非线性Fredholm积分方程的正定函数数值解。

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A numerical method for solving the nonlinear Fredholom integral equations is presented. The method is based on interpolation by radial basis functions (RBF) to approximate the solution of the Fredholm nonlinear integral equations. Several examples are given and numerical examples are presented to demonstrate the validity and applicability of the method. (c) 2007 Elsevier Inc. All rights reserved.

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《Applied mathematics and computation》 |2007年第2期|共8页
作者
Alipanah A; Dehghan M;
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正文语种 eng
中图分类应用数学;
关键词
nonlinear integral equations; interpolation; strictly positive functions; radial basis functions; RADIAL BASIS FUNCTIONS;

机译：非线性积分方程;插值;严格正函数;径向基函数;径向基函数;

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专利

1. Numerical solution of the nonlinear Fredholm integral equations by positive definite functions [J] . Alipanah A, Dehghan M Applied mathematics and computation . 2007,第2期

机译：非线性Fredholm积分方程的正定函数数值解。
2. Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations in two-dimensional spaces based on Block Pulse functions [J] . Xie Jiaquan, Huang Qingxue, Zhao Fuqiang Journal of Computational and Applied Mathematics . 2017,第期

机译：基于块脉冲函数的二维空间中非线性Volterra-Fredholm-Hammerstein整体方程的数值解
3. Error estimation and numerical solution of nonlinear fuzzy Fredholm integral equations of the second kind using triangular functions [J] . Baghmisheh Mahdi, Ezzati Reza Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2016,第2期

机译：基于三角函数的第二类非线性模糊Fredholm积分方程的误差估计和数值解
4. Numerical solution of nonlinear Fredholm integral equations of second kind by using hybrid of block-pulse functions and Taylor series [C] . 2010 IEEE International Conference on Progress in Informatics and Computing . 2010

机译：块脉冲函数与泰勒级数混合求解第二类非线性Fredholm积分方程的数值解
5. Numerical solution of a nonlinear Fredholm integral equation of the first kind [D] . Jonca, Katarzyna Kuglarz 1988

机译：第一类非线性弗雷德霍姆积分方程的数值解
6. A NEW APPROACH TO THE NUMERICAL SOLUTION OF A CLASS OF LINEAR AND NONLINEAR INTEGRAL EQUATIONS OF FREDHOLM TYPE [O] . Richard Bellman 1965

机译：一类Fredholm型线性和非线性积分方程数值解的新方法。
7. Numerical solution of nonlinear fuzzy Fredholm integral equations of the second kind using hybrid of block-pulse functions and Taylor series [O] . 2015

机译：块脉冲函数与泰勒级数混合的第二类非线性模糊弗雷德霍姆积分方程的数值解
8. A New Approach to the Numerical Solution of a Class of Linear and Nonlinear Integral Equations of Fredholm Type [R] . Bellman, R. 1966

机译：一类Fredholm型线性与非线性积分方程数值解的新方法

Numerical solution of the nonlinear Fredholm integral equations by positive definite functions

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