Finite difference method, MATLAB Programming

Finite Difference Method for An Elliptic Partial Differential Equation  


Use the finite difference method and MatLab code to solve the 2D steady-state heat equation (δ2T/δx2 )+ (δ2T/δy2 )= 0, where T(x, y) is the temperature distribution in a rectangular domain in x-y plane. The boundary condition is specified as follows in Figure.

34_matlab figure.png

Show (1) the temperature distribution in the whole rectangular domain (use 'contourf ').

(2)  the temperature distribution along the diagonal line 

(the red dotted line without the two ends) and the middle line (the blue dashed line) (use 'plot').

(Note: You should give a brief description of your way to apply the finite difference method, e.g., what kind of discrete domain and how many nodes you choose, and provide the complete MatLab program you use)

Posted Date: 3/21/2013 2:46:16 AM | Location : United States

Related Discussions:- Finite difference method, Assignment Help, Ask Question on Finite difference method, Get Answer, Expert's Help, Finite difference method Discussions

Write discussion on Finite difference method
Your posts are moderated
Related Questions
hey ! why the command sawtooth and square does not exist in Matlab R2012a?

A 12-point sequence is x (n) defined as x(n) = { 1, 2, 3, 4, 5, 6, 6, 5, 4, 3, 2, 1}. Write MATLAB programs to (a) Determine the DFT X (k) of x(n) and plot (using stem function)

Problem 1:   What are the different methods that can be used to solve a differential equation? Please provide a numbered list. Problem 2:   For a first order linear d

Find f(t) for each F(s): Problem: Based on an examination given to a large class in which the maximum score is 100 points, assuming that 20 grades taken at random f

Hello my name is lalitkumar and I am a student.I needed help in MATLAB for recognition of colour randomly using webcam realtime for RGB without external trigger.please mail the co

Write a matlab function that calls eig and generates an estimate of the smallest three eigenvalues and associated eigenfunctions of the negative Laplacian operator on ?. (Hint: thi

You"> You can go to this link and it should come up I need this by tommorow at 10:00 I just need the published part where you r

Example: Load from File and Plot Data: As illustration, a file known as timetemp.dat stores two lines of data. The first line is the time of the day, and the next line is the

Adaptive filters can also be used in other applications. Speech recognition, for example, is performed in a non-stationary environment, and therefore may require adaptive filtering

what is an error and its types