Review of numerical solution and simulation of parabolic partial differential equations

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dc.creatorKamuzora, Alfred
dc.date2019-08-20T05:17:11Z
dc.date2019-08-20T05:17:11Z
dc.date2016
dc.date.accessioned2021-05-06T12:58:59Z
dc.date.available2021-05-06T12:58:59Z
dc.descriptionDissertation (MSc Mathematics)
dc.descriptionThis dissertation reviews numerical solution of parabolic partial differential equations. A short description and classification of parabolic partial differential equation is presented. The explicit, implicit and Crank-Nicolson numerical techniques are discussed in relation to consistency, convergence and stability. Analytical and numerical solutions of well-posed problem are obtained by Crank-Nicolson and Laplace transform methods, and discussed through a practical example. A simulation result of homogeneous heat equation is presented by using MATLAB.
dc.identifierKamuzora, A. (2016). Review of numerical solution and simulation of parabolic partial differential equations. Dodoma: The University of Dodoma.
dc.identifierhttp://hdl.handle.net/20.500.12661/959
dc.identifier.urihttp://hdl.handle.net/20.500.12661/959
dc.publisherThe University of Dodoma
dc.subjectParabolic
dc.subjectNumerical equation
dc.subjectPartial differential equation
dc.subjectParabolical equations
dc.subjectPartial parabolic description
dc.titleReview of numerical solution and simulation of parabolic partial differential equations
dc.typeDissertation

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