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dc.contributor.advisorParumasur, Nabendra.
dc.contributor.advisorSingh, P.
dc.creatorKajotoni, Margaret Modupe.
dc.date.accessioned2010-08-20T12:52:38Z
dc.date.available2010-08-20T12:52:38Z
dc.date.created2008
dc.date.issued2008
dc.identifier.urihttp://hdl.handle.net/10413/448
dc.descriptionThesis (M.Sc.)-University of KwaZulu-Natal, 2008.en_US
dc.description.abstractThe collocation method for solving ordinary differential equations is examined. A detailed comparison with other weighted residual methods is made. The orthogonal collocation method is compared to the collocation method and the advantage of the former is illustrated. The sensitivity of the orthogonal collocation method to different parameters is studied. Orthogonal collocation on finite elements is used to solve an ordinary differential equation and its superiority over the orthogonal collocation method is shown. The orthogonal collocation on finite elements is also used to solve a partial differential equation from chemical kinetics. The results agree remarkably with those from the literature.
dc.language.isoenen_US
dc.subjectDifferential equations--Numerical solutions.
dc.subjectDifferential equations--Numerical solutions.en_US
dc.subjectTheses--Mathematics.
dc.subjectTheses--Mathematics.en_US
dc.titleA comparative study of collocation methods for the numerical solution of differential equations.
dc.typeThesis


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