On the Non-Negative Radial Solutions of the Two Dimensional Bratu Equation
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Authors: M. K. C. NDJATCHI, P. VYRIDIS, J. MARTíNEZ AND J. J. ROSALES
DOI: 10.46793/KgJMat2102.275N
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.
Keywords:
Non-linear eigenvalue problem, finite difference method, Gauss-Seidel method.
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