Review of numerical solution and simulation of parabolic partial differential equations
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Date
2016
Authors
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Journal ISSN
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Publisher
The University of Dodoma
Abstract
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.
Description
Dissertation (MSc Mathematics)
Keywords
Parabolic, Numerical equation, Partial differential equation, Parabolical equations, Partial parabolic description
Citation
Kamuzora, A. (2016). Review of numerical solution and simulation of parabolic partial differential equations. Dodoma: The University of Dodoma.