ON THE NON-NEGATIVE RADIAL SOLUTIONS OF THE TWO DIMENSIONAL BRATU EQUATION

被引：0
|
作者：
Christophe Ndjatchi, Mbe Koua [1 ]
Vyridis, Panayotis [1 ]
Martinez, Juan [2 ]
Juan Rosales, J. [3 ]
机构：
[1] UPIIZ, Inst Politecn Nacl, Dept Phys & Math, Zacatecas 098160, Zacatecas, Mexico
[2] Zacatecas Autonomous Univ, Dept Math, Zacatecas 098000, Zacatecas, Mexico
[3] DICIS Univ Guanajuato, Dept Elect Engn, Carretera Salamanca Valle Santiago,Km 3-5 1-8 Km, Guanajuato 36885, Mexico
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 02期
关键词：
Non-linear eigenvalue problem; finite difference method; Gauss-Seidel method; STATISTICAL-MECHANICS; EXISTENCE;
D O I：
10.46793/KgJMat2102.275N
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the boundary value problem on the unit circle for the Bratu's equation depending on the real parameter mu. From the parameter estimate, the existence of non-negative solution is set. A numerical method is suggested to justify the theoretical result. It is a combination of the adaptation of finite difference and Gauss-Seidel method allowing us to obtain a good approximation of mu(c), with respect to the exact theoretical method mu(c) = lambda = 5.7831859629467.
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页码：275 / 288
页数：14
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