Library Portal | UWC Portal | National ETDs | Global ETDs
    • Login
    Contact Us | Quick Submission Guide | About Us | FAQs | Login
    View Item 
    •   ETD Home
    • Faculty of Natural Science
    • Department of Mathematics
    • Magister Scientiae - MSc (Mathematics and Applied Mathematics)
    • View Item
    •   ETD Home
    • Faculty of Natural Science
    • Department of Mathematics
    • Magister Scientiae - MSc (Mathematics and Applied Mathematics)
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Robust computational methods for two-parameter singular perturbation problems

    Thumbnail
    View/Open
    Elago_MSC_2010.pdf (361.6Kb)
    Date
    2010
    Author
    Elago, David
    Metadata
    Show full item record
    Abstract
    This thesis is concerned with singularly perturbed two-parameter problems. We study a tted nite difference method as applied on two different meshes namely a piecewise mesh (of Shishkin type) and a graded mesh (of Bakhvalov type) as well as a tted operator nite di erence method. We notice that results on Bakhvalov mesh are better than those on Shishkin mesh. However, piecewise uniform meshes provide a simpler platform for analysis and computations. Fitted operator methods are even simpler in these regards due to the ease of operating on uniform meshes. Richardson extrapolation is applied on one of the tted mesh nite di erence method (those based on Shishkin mesh) as well as on the tted operator nite di erence method in order to improve the accuracy and/or the order of convergence. This is our main contribution to this eld and in fact we have achieved very good results after extrapolation on the tted operator finitete difference method. Extensive numerical computations are carried out on to confirm the theoretical results.
    URI
    http://hdl.handle.net/11394/2588
    Collections
    • Magister Scientiae - MSc (Mathematics and Applied Mathematics) [56]

    DSpace 5.5 | Ubuntu 14.04 | Copyright © University of the Western Cape
    Contact Us | Send Feedback
    Theme by 
    @mire NV
     

     

    Browse

    All of RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    Login

    Statistics

    View Usage Statistics

    DSpace 5.5 | Ubuntu 14.04 | Copyright © University of the Western Cape
    Contact Us | Send Feedback
    Theme by 
    @mire NV