A simple solution of the Bratu problem

Authors:
A. Mohsen
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2014

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Abstract

A brief survey of the properties and different treatments of the one-dimensional (1D) and (2D) Bratu problems is presented. Different iterative treatments of the resulting nonlinear system of equations are discussed. The finite-difference treatment of the problem is considered. Nonstandard finite-difference methods with a simple sinusoidal starting function having an appropriate amplitude are recommended. Bounds on the amplitude for yielding both lower and upper solutions are given.