Numerical Solution of Heat By Conduction Eq. in 2 Dimensions

版本 1.0.0 (77.1 KB) 作者: Abdelrahman Adel
Numerical Solution of Conduction Eq. in 2 Dimensions Using FDM - Explicit FTCS Method
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更新时间 2024/1/11

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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

引用格式

Abdelrahman Adel (2024). Numerical Solution of Heat By Conduction Eq. in 2 Dimensions (https://www.mathworks.com/matlabcentral/fileexchange/157431-numerical-solution-of-heat-by-conduction-eq-in-2-dimensions), MATLAB Central File Exchange. 检索来源 .

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创建方式 R2021a
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版本 已发布 发行说明
1.0.0