Browsing by Author "Kamuzora, Alfred"

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    Review of numerical solution and simulation of parabolic partial differential equations
    (The University of Dodoma, 2016) Kamuzora, Alfred
    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.