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.

引用

页码：31 / 42

页数：12

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