Numerical solutions and simulation of elliptic partial differential equations.

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dc.contributor.authorIbrahim, Zeno Vitalis
dc.date.accessioned2019-08-19T09:00:28Z
dc.date.available2019-08-19T09:00:28Z
dc.date.issued2016
dc.descriptionDissertation (MSc Mathematics)en_US
dc.description.abstractThis dissertation provides general review of Partial Differential Equations. The Finite Difference Method which uses Taylor’s Theorem for solving Partial Differential Equations and Solution of elliptic partial differential equations, it also introduces the concepts of convergence, consistency and stability of finite difference scheme, Finite Difference Method (FDM) involving direct method and Iterative method like Gauss Seidel or Gauss Seidel with Successive Over Relaxation are applied on specific chosen example then simulation of Two Dimensional Laplace’s Partial Differential Equations of each method is to be done by MATLAB. Finally analysis of the results based on the three methods is made to indicate which method performs better than others. With this dissertation those wishing to apply Partial Differential Equations especially elliptic will be interested to use Gauss Seidel with Successive over Relaxation method since analysis shows that this method gives better results when solving itteratively.en_US
dc.identifier.citationIbrahim, Z. V. (2016). Numerical solutions and simulation of elliptic partial differential equations. Dodoma: The University of Dodoma.en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12661/879
dc.publisherThe University of Dodomaen_US
dc.subjectElliptic partial differential equationsen_US
dc.subjectNumerical simulationen_US
dc.subjectPartial differential equationen_US
dc.subjectSimulation elliptic equationsen_US
dc.subjectDifferential equationsen_US
dc.subjectNumerical solutionsen_US
dc.subjectDifferential equations simulationen_US
dc.subjectFinite difference methoden_US
dc.subjectFDMen_US
dc.titleNumerical solutions and simulation of elliptic partial differential equations.en_US
dc.typeDissertationen_US
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