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dc.contributor.advisorMika, Janusz R.
dc.creatorParumasur, Nabendra.
dc.date.accessioned2012-07-17T09:45:17Z
dc.date.available2012-07-17T09:45:17Z
dc.date.created1992
dc.date.issued1992
dc.identifier.urihttp://hdl.handle.net/10413/5862
dc.descriptionThesis (M.Sc.)-University of Natal, Durban, 1992.en
dc.description.abstractWe wish to apply the newly developed multigrid method [14] to the solution of ODEs resulting from the semi-discretization of time dependent PDEs by the method of lines. In particular, we consider the general form of two important PDE equations occuring in practice, viz. the nonlinear diffusion equation and the telegraph equation. Furthermore, we briefly examine a practical area, viz. atmospheric physics where we feel this method might be of significance. In order to offer the method to a wider range of PC users we present a computer program, called PDEMGS. The purpose of this program is to relieve the user of much of the expensive and time consuming effort involved in the solution of nonlinear PDEs. A wide variety of examples are given to demonstrate the usefulness of the multigrid method and the versatility of PDEMGS.en
dc.language.isoen_ZAen
dc.subjectDifferential equations--Numerical solutions.en
dc.subjectStiff computation (Differential equations)en
dc.subjectDifferential equations, Partial.en
dc.subjectMultigrid methods (Numerical analysis)en
dc.subjectTheses--Mathematics.en
dc.titleThe application of the multigrid algorithm to the solution of stiff ordinary differential equations resulting from partial differential equations.en
dc.typeThesisen


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