MATLAB Code Implementation for Heat Conduction Equation

This Word document provides MATLAB program code for implementing the heat conduction equation. The heat conduction equation is a mathematical model that describes heat transfer in spatial domains due to temperature differences. The code typically employs numerical methods such as finite difference schemes to solve the parabolic partial differential equation ∂u/∂t = α∇²u, where α represents thermal diffusivity. Users can modify parameters like initial conditions, boundary conditions, and thermal properties to observe how the solution evolves over time. The implementation may include key MATLAB functions such as pdepe for partial differential equation solving or custom finite difference matrices for spatial discretization. Time-stepping algorithms like explicit or implicit Euler methods are commonly used for temporal integration. For those interested in deeper understanding, the code serves as a practical foundation for exploring heat transfer phenomena, with numerous academic papers and textbooks available for further theoretical background and advanced applications in thermal analysis and engineering simulations.