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.

引用

页码：275 / 288

页数：14

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