Numerical solutions of nonlinear integro-elliptic systems by monotone iterative methods

被引：0
|
作者：
Boglaev, Igor [1 ]
机构：
[1] Massey Univ, Sch Fundamental Sci, Private Bag 11-222, Palmerston North, New Zealand
来源：
APPLIED NUMERICAL MATHEMATICS | 2020年 / 147卷 / 147期
关键词：
System of nonlinear integro-elliptic equations; Quasi-monotone functions; Method of upper and lower solutions; Monotone iterative methods;
D O I：
10.1016/j.apnum.2019.08.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with numerical treatments of systems of nonlinear integro-elliptic equations. Monotone iterative methods, based on the method of upper and lower solutions, are constructed. Convergence of the monotone iterative methods is proved. A construction of initial upper and lower solutions is discussed. Numerical experiments are presented. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：31 / 42
页数：12
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