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Review of numerical solution and simulation of parabolic partial differential equations

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dc.creator Kamuzora, Alfred
dc.date 2019-08-20T05:17:11Z
dc.date 2019-08-20T05:17:11Z
dc.date 2016
dc.date.accessioned 2021-05-06T12:58:59Z
dc.date.available 2021-05-06T12:58:59Z
dc.identifier Kamuzora, A. (2016). Review of numerical solution and simulation of parabolic partial differential equations. Dodoma: The University of Dodoma.
dc.identifier http://hdl.handle.net/20.500.12661/959
dc.identifier.uri http://hdl.handle.net/20.500.12661/959
dc.description Dissertation (MSc Mathematics)
dc.description This 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.publisher The University of Dodoma
dc.subject Parabolic
dc.subject Numerical equation
dc.subject Partial differential equation
dc.subject Parabolical equations
dc.subject Partial parabolic description
dc.title Review of numerical solution and simulation of parabolic partial differential equations
dc.type Dissertation


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