Numerical Solution of Heat By Conduction Eq. in 2 Dimensions

Numerical Solution of Conduction Eq. in 2 Dimensions Using FDM - Explicit FTCS Method

Overview:

This MATLAB script provides a numerical solution for the 2D conduction equation using the explicit Forward Time Central Space (FTCS) finite difference method. The script aims to simulate heat conduction in a 2D domain and visualize the temperature distribution over time.

Features:

1. 2D Conduction Equation Solver: Implements the numerical solution for the 2D conduction equation to simulate heat transfer in a plate or domain.
2. Explicit FTCS Method: Utilizes the Forward Time Central Space (FTCS) scheme for time-stepping to approximate the solution at each time step.
3. Visualization: Generates visualizations of the temperature distribution over the specified time range.

Usage:

1. Input Parameters:

• Define the size of the 2D domain (length, width).
• Set the spatial and temporal discretization parameters.
• Specify the initial temperature distribution and boundary conditions.

2. Run the Script:

• Execute the script to perform the numerical simulation.

3.Visualize Results:

• Visualize the temperature distribution at different time steps using built-in plotting functions.
• Animate Temperature Distribution over time