Few Simulation/Animation programs

By Nasser Abbasi

Last updated 10/10/2009

This page will contain Matlab scripts/functions and Mathematica notebooks that I am working on or done relating to simulation and animation.

I will list these in a table, with a small description of what each script or function does.

#	description	Link to source code	Screen shot	Animation wav file
0	Moving circle and cycloid	here
1	RANDOM WALK 3D Matlab 7.1 This is a matlab script called nma_random_walk_3d.m it is a simulation of random walk in 3D.	nma_random_walk_3d.m nma_random_walk_3d.m.txt There are 6 probabilities one for each direction (left x, rightx, left y, right y, up and down). Adjust the parameters at the top of the script. See top of script for more information.		nma_random_walk_3d.avi
2	RANDOM WALK 2D Matlab 7.1 This is a matlab script called nma_random_walk_2d.m it is a simulation of random walk in 2D.	nma_random_walk_2d.m nma_random_walk_2d.m.txt There are 3 probabilities that can be assigned. one for right step, one for left step, and one for no step. See top of script for more information		This wav file shows animation with 3 equal probabilities for left, right and no step. nma_random_walk_2d_equal_prob.avi This wav file shows animation with probability of left step and right step being equal and each is 0.5. Hence no effect is taken for making no step during any time. nma_random_walk_2d_left_and_right_only.avi
3	Ornstein-Ehrenfest Mathematica 6.01 This is an animation of the solution to the PDE Use adjusts ‘c’ and ‘D’ parameters and animation of solution is shown. One version written in Matlab and another in Mathematica 6 (Using Manipulate)	Matlab source code: OE_model.m (script. Edit to change parameter values at top of script). Mathematica source code O_E.nb	Screen shots of Matlab animation Mathematica screen shot	Wav files of Matlab animation c_at_0.001_30_seconds.avi c_at_0.01_25_seconds.avi
4	Einstein_Weiner Mathematica 6.01 This is an animation of the solution to the PDE In Mathematica. Adjust using the GUI the parameters beta (drift) and D (diffusion) and simulation time and run it.	Mathematica source code E_W.nb
5	Bouncing Ball inside a square Mathematica 6.01 Just a small animation of a ball bouncing between the walls inside a closed square. Shows how to use Mathematica to do animation. This was done without using Manipulate.	Mathematica source code oneBouncingBall.nb HTML
6	Bouncing Ball inside a square Mathematica 6.01 This is the same as above, except this one uses Manipulate to specify the simulation parameters (time, radius of ball, speed of simulation, etc…). This is more flexible.	Source code try1.nb HTML PDF
7	Markov chain transition probability Matirx being raised to Powers Mathematica 6.01 A very small computation to show visually the P matrix (probability transition matrix) used in markov chains being raised to higher powers. To show to what value it converges to. Move the slider and see the matrix being raised to that power one step at a time.	Source code mpower_v1.nb HTML
8	Markov chain transition probability Matirx for inventory problem Shows the P matrix for the inventory problem as number of weeks increases and the current state row vector. Select ‘s’ and ‘S’ and number of weeks from the GUI.	Source code mpower_v2.nb HTML
9	Using simulink to look at response to a step input showing how to use a scope with multiple input signals	PDF