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. Simulation results of homogeneous heat equation is presented by using
MATLAB.
Kamuzora, A (2021). Review Of Numerical Solution And Simulation Of Parabolic Partial Differential Equations. Afribary. Retrieved from https://afribary.com/works/review-of-numerical-solution-and-simulation-of-parabolic-partial-differential-equations
Kamuzora, Alfred "Review Of Numerical Solution And Simulation Of Parabolic Partial Differential Equations" Afribary. Afribary, 26 Apr. 2021, https://afribary.com/works/review-of-numerical-solution-and-simulation-of-parabolic-partial-differential-equations. Accessed 30 Apr. 2024.
Kamuzora, Alfred . "Review Of Numerical Solution And Simulation Of Parabolic Partial Differential Equations". Afribary, Afribary, 26 Apr. 2021. Web. 30 Apr. 2024. < https://afribary.com/works/review-of-numerical-solution-and-simulation-of-parabolic-partial-differential-equations >.
Kamuzora, Alfred . "Review Of Numerical Solution And Simulation Of Parabolic Partial Differential Equations" Afribary (2021). Accessed April 30, 2024. https://afribary.com/works/review-of-numerical-solution-and-simulation-of-parabolic-partial-differential-equations