A comparative study of collocation methods for the numerical solution of differential equations.

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dc.contributor.advisor Parumasur, N.
dc.contributor.advisor Singh, P.
dc.creator Kajotoni, Margaret Modupe.
dc.date.accessioned 2010-08-20T12:52:38Z
dc.date.available 2010-08-20T12:52:38Z
dc.date.created 2008
dc.date.issued 2008
dc.identifier.uri http://hdl.handle.net/10413/448
dc.description Thesis (M.Sc.)-University of KwaZulu-Natal, 2008. en_US
dc.description.abstract The 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.iso en en_US
dc.subject Differential equations--Numerical solutions.
dc.subject Differential equations--Numerical solutions. en_US
dc.subject Theses--Mathematics.
dc.subject Theses--Mathematics. en_US
dc.title A comparative study of collocation methods for the numerical solution of differential equations.
dc.type Thesis

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