Kamuzora, Alfred2019-08-202019-08-202016Kamuzora, A. (2016). Review of numerical solution and simulation of parabolic partial differential equations. Dodoma: The University of Dodoma.http://hdl.handle.net/20.500.12661/959Dissertation (MSc Mathematics)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.ParabolicNumerical equationPartial differential equationParabolical equationsPartial parabolic descriptionReview of numerical solution and simulation of parabolic partial differential equationsDissertation