| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 470448 | Computers & Mathematics with Applications | 2014 | 8 Pages |
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.
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Physical Sciences and Engineering
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Authors
A. Mohsen,