By Howard B. Wilson, Louis H. Turcotte, David Halpern

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Otherwise, strngrun(1) % executes a sample data case. % % User m functions called: strngwav animate 13: 14: pltsav=0; % flag to save or not save graphs 15: 16: 17: 18: 19: 20: 21: 22: 23: 24: 25: 26: 27: 28: 29: 30: 31: 32: 33: 34: 35: 36: 37: 38: 39: 40: disp(’ ’) disp(’WAVE PROPAGATION IN A STRING’), disp(’ ’) if nargin==0 % Input data interactively [a,len]=inputv([’Input wave speed (a) and ’,... ’string length (len) > ? ’]); disp(’ ’) disp([’Enter the number of interior ’,... ’data points (the fixed’]) disp([’end point coordinates are ’,...

The output results produced by runpen(1) are shown below for reference. 7: Partial Motion Trace for Pendulum Almost Pushed Over the Top © 2003 by CRC Press LLC Program pendulum 1: 2: 3: 4: 5: 6: 7: 8: function pendulum(rundemo) % pendulum(rundemo) % This example analyzes damped oscillations of % a simple pendulum and animates the motion. 2*theta’(t)+sin(theta) = 0 9: 10: 11: 12: % Type pendulum with no argument for inter% active input. 2*theta’’(t)+sin(theta) = 0’) 23: 24: 25: 26: 27: % Create an inline function defining the % differential equation in matrix form zdot=inline(...

41: © 2003 by CRC Press LLC if isempty(w0) | w0==0 disp(’ ’), disp(’All Done’), disp(’ ’), return end disp(’ ’) t=input([’Input a vector of time values ’,... 1:30) > ? ’]); 42: 43: 44: 45: 46: 47: 48: disp(’ ’) titl=input(’Input a title for the graphs : ’,’s’); disp(’ ’), disp(... ’Input 1 to leave images of all positions shown’) trac=input(... ’in the animation, otherwise input 0 > ? 05) close, disp(’ ’), disp(’All Done’), disp(’ ’) 84: 85: end 86: © 2003 by CRC Press LLC 87: %=============================================== 88: 89: 90: 91: 92: 93: 94: 95: 96: 97: 98: 99: 100: 101: 102: 103: 104: 105: 106: function animpen(t,th,titl,tim,trac) % % animpen(t,th,titl,tim,trac) % ~~~~~~~~~~~~~~~~~~~~~~~~~~ % This function plots theta versus t and animates % the pendulum motion % % t - time vector for the solution % th - angular deflection values defining the % pendulum positions % titl - a title shown on the graphs % tim - a time delay between successive steps of % the animation.