Browsing by Author "Masenge, Ralph Wasili Peter"

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    Finite elements for time-dependent convection-diffusion problems
    (University of Dar es Salaam, 1988) Masenge, Ralph Wasili Peter
    This thesis analyses and makes comparison (both theoretical and practical) between a number of numerical methods based on finite elements for solving stationary and time-dependent initial and boundary value problems governed by linear, scalar convection-dominated convection-diffusion equations. We set about achieving our objective by analysing the stability properties of the methods, deriving discretion error estimates and qualitatively assessing the computational complexity of implementing the methods. A number of test problems are presented and solved; the numerical results are discussed, and some specific conclusions are drawn in a concluding chapter.