On the Non-Negative Radial Solutions of the Two Dimensional Bratu Equation-Reference-Cited by-同舟云学术

On the Non-Negative Radial Solutions of the Two Dimensional Bratu Equation

Published:2021-04 Issue:02 Volume:45 Page:275-288
ISSN:2406-3045
Container-title:Kragujevac Journal of Mathematics
language:en
Short-container-title:KgJMat

Author:

NDJATCHI MBE KOUA CHRISTOPHE¹,VYRIDIS PANAYOTIS¹,MARTÍNEZ JUAN²,ROSALES J. JUAN³

Affiliation:

1. Instituto Politécnico Nacional, Zacatecas, Mexico

2. Zacatecas Autonomous University, Zacatecas, Mexico

3. DICIS University of Guanajuato, Mexico

Abstract

In this paper, we study the boundary value problem on the unit circle for the Bratu’s equation depending on the real parameter μ. 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 μc, with respect to the exact theoretical method μc = λ = 5.7831859629467.

Publisher

University Library in Kragujevac

Subject

General Mathematics

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