Numerical Treatment of Non-Linear singular pertubation problems
type: CreativeWork
description: 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.
abstract: 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.
author: Shikongo, Albert
keywords: Non-linear Singular Perturbation Problems, Asymptotic Analysis, Fitted Mesh Finite Difference Methods, Fitted Operator Finite Difference Methods, Stability
license: https://uwcscholar.uwc.ac.za/bitstreams/29c67f95-aae3-409c-877d-69b8f08c1729/download
date published: 2007
date modified: 2026-07-24T06:00:42Z
provider: University of the Western Cape
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: University of the Western Cape