Modelling, Simulation and Visualization of Heat Equation Dynamics
H. Babatunde Oluleye *
Osun State University, Osogbo, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
Aims/ Objectives: To show modelling, simulation and visualization of the dynamics of heat equation in a rod. Other PDE models and Numerical approaches are also discussed.
Study Design: This paper is simply about how to use MATLAB software to solve PDE model.
Methodology: A Class of PDE was uniquely modelled, simulated, and visualized using certain algorithm and MATLAB routine for Elliptic/Hyperbolic PDE. Different diagrams showing the nature of the solution are discussed.
Results: The nature of the PDE governing heat dynamic in a rod are shown in the figures. Other PDE models are also presented.
Conclusion: A simple demostration of numerical simulation of PDE governing the popular heat equation is presented. Three other PDE models are considered. The results herein can be adapted and applied to other more complex PDE models.
Keywords: Heat Equation, Modelling, Numerical Simulation, Visualization