Numerical Solutions of a Class of Second Order Boundary Value Problems with Robin conditions

被引：0
|
作者：
Abushammala, M. [1 ]
Kafri, H. [1 ]
机构：
[1] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 2015年 / 1648卷
关键词：
Second order nonlinear BVPs; Robin conditions; Green's functions; fixed point iterations;
D O I：
10.1063/1.4912367
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A novel numerical approach, based on manipulating Green's function and fixed point iteration formula of Krasnoselskii-Mann, is presented. The method is applied to a class of second order nonlinear boundary value problems having unmixed Robin boundary conditions. Numerical examples are given to demonstrate the accuracy and efficiency of the method. The results are compared with both the analytical solutions and those provided by other methods in the literature.
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