Finite difference method, MATLAB Programming

Finite Difference Method for An Elliptic Partial Differential Equation  

Problem 

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
This can be done from the command line or from a makefile. You require a script (filename.m). Just type at the command line, or contain in the makefile: matlab

Problem of a projectile being launched at an angle of O at an initial velocity ofv. The equations for the height hand horizontallocation x as functions of time t are as follo

Produce a random real number: To produce a random real number in the range from low to high, at first create the variables low and high. And then, use the expression rand*(hig

1) Identify an equation that describes some chemical process.  Your equation should have at least two parameters, at least one of which should contribute in a non-linear way. He

The diagram shown on the next page represents a planar pantograph-based leg for a walking robot. This model utilizes only one DOF to generate the walking gait at the foot link 'n


Type logical: The type logical is used to store the true/false values. If any variables have been formed in the Command Window, they can be seen at the Workspace Window. In

Calculating and Visualizing Sequence Statistics Follow the instructions in this demo file to download a sequence and calculate and visualize its statistics. Save all the command


ACTIVITIES OF A PROJECT 1-2 1-3 1-4 1-5 2-6 3-6 3-7 4-7 5-7 7-6 6-8 7-8 THE COMMPANY LOSES 2,000 FOR EVERY WEEK THE PROJECT LASTS BEYOND 30 WEEKS. fOR EACH OF THE PROPOSALS; ACTIVI