Numerical Treatment of Non-Linear singular pertubation problems
Magister Scientiae - MSc === This thesis deals with the design and implementation of some novel numerical methods for non-linear singular pertubations problems (NSPPs). It provide a survey of asymptotic and numerical methods for some NSPPs in the past decade. By considering two test problems, rigoro...
Main Author: | |
---|---|
Other Authors: | |
Language: | en |
Published: |
University of the Western Cape
2013
|
Subjects: | |
Online Access: | http://hdl.handle.net/11394/2517 |
id |
ndltd-netd.ac.za-oai-union.ndltd.org-uwc-oai-etd.uwc.ac.za-11394-2517 |
---|---|
record_format |
oai_dc |
spelling |
ndltd-netd.ac.za-oai-union.ndltd.org-uwc-oai-etd.uwc.ac.za-11394-25172017-08-02T04:00:09Z Numerical Treatment of Non-Linear singular pertubation problems Shikongo, Albert Patidar, Kailash C. Dept. of Mathematics Faculty of Science Non-linear Singular Perturbation Problems Asymptotic Analysis Fitted Mesh Finite Difference Methods Fitted Operator Finite Difference Methods Stability Error Estimates Convergence Enzyme Kinetics Numerical Analysis Magister Scientiae - MSc This thesis deals with the design and implementation of some novel numerical methods for non-linear singular pertubations problems (NSPPs). It provide a survey of asymptotic and numerical methods for some NSPPs in the past decade. By considering two test problems, rigorous asymptotic analysis is carried out. Based on this analysis, suitable numerical methods are designed, analyzed and implemented in order to have some relevant results of physical importance. Since the asymptotic analysis provides only qualitative information, the focus is more on the numerical analysis of the problem which provides the quantitative information. South Africa 2013-12-06T09:27:15Z 2009/11/11 12:47 2009/11/11 2013-12-06T09:27:15Z 2007 Thesis http://hdl.handle.net/11394/2517 en University of the Western Cape University of the Western Cape |
collection |
NDLTD |
language |
en |
sources |
NDLTD |
topic |
Non-linear Singular Perturbation Problems Asymptotic Analysis Fitted Mesh Finite Difference Methods Fitted Operator Finite Difference Methods Stability Error Estimates Convergence Enzyme Kinetics Numerical Analysis |
spellingShingle |
Non-linear Singular Perturbation Problems Asymptotic Analysis Fitted Mesh Finite Difference Methods Fitted Operator Finite Difference Methods Stability Error Estimates Convergence Enzyme Kinetics Numerical Analysis Shikongo, Albert Numerical Treatment of Non-Linear singular pertubation problems |
description |
Magister Scientiae - MSc === This thesis deals with the design and implementation of some novel numerical methods for non-linear singular pertubations problems (NSPPs). It provide a survey of asymptotic and numerical methods for some NSPPs in the past decade. By considering two test problems, rigorous asymptotic analysis is carried out. Based on this analysis, suitable numerical methods are designed, analyzed and implemented in order to have some relevant results of physical importance. Since the asymptotic analysis provides only qualitative information, the focus is more on the numerical analysis of the problem which provides the quantitative information. === South Africa |
author2 |
Patidar, Kailash C. |
author_facet |
Patidar, Kailash C. Shikongo, Albert |
author |
Shikongo, Albert |
author_sort |
Shikongo, Albert |
title |
Numerical Treatment of Non-Linear singular pertubation problems |
title_short |
Numerical Treatment of Non-Linear singular pertubation problems |
title_full |
Numerical Treatment of Non-Linear singular pertubation problems |
title_fullStr |
Numerical Treatment of Non-Linear singular pertubation problems |
title_full_unstemmed |
Numerical Treatment of Non-Linear singular pertubation problems |
title_sort |
numerical treatment of non-linear singular pertubation problems |
publisher |
University of the Western Cape |
publishDate |
2013 |
url |
http://hdl.handle.net/11394/2517 |
work_keys_str_mv |
AT shikongoalbert numericaltreatmentofnonlinearsingularpertubationproblems |
_version_ |
1718510381736919040 |