The purpose of this research is the development of a method for studying a two-dimensional semi-linear elliptic partial differential equation in an infinite stripe with slow variations of one of the boundaries. The problem is reformulated as a boundary value problem for a semi-linear elliptic equation with a small parameter at one higher derivative (the singular perturbation parameter). The method is based on the boundary function of Tikhonov, shaped by Vasil?eva and Butuzov for a one-dimensional case. The developed method has clear parallels with the one-dimensional boundary function method.
| Identifer | oai:union.ndltd.org:ADTP/284059 |
| Date | January 2006 |
| Creators | Kravchuk, Sergiy |
| Source Sets | Australiasian Digital Theses Program |
| Language | EN-AUS |
| Detected Language | English |
| Rights | Copyright Sergiy Kravchuk 2006 |
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