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Advanced Mathematics and Mechanics Applications Using by David Halpern, Howard B. Wilson, Louis H. Turcotte PDF

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

ISBN-10: 158488262X

ISBN-13: 9781584882626

Due to the fact that its advent in 1984, MATLAB's ever-growing attractiveness and performance have secured its place as an industry-standard software program package deal. The basic, interactive surroundings of MATLAB 6.x, which incorporates a high-level programming language, flexible portraits services, and abundance of intrinsic services, is helping clients specialize in their purposes instead of on programming blunders. MATLAB has now leapt a ways prior to FORTRAN because the software program of selection for engineering purposes.

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Additional info for Advanced Mathematics and Mechanics Applications Using MATLAB, Third Edition

Sample text

This becomes particularly evident unless the graph axes are left off. 7 on wave motion in a string. The current program permits interactive input repeatedly specifying the initial angular velocity, or two illustrative data cases can be run by executing the command runpen(1). The differential equation for the problem is deÞned as function zdot on lines 26 and 27. 4: Angular Deßection versus Time for Pendulum Pushed Over the Top by calls to function ode45 on lines 59, 75, and 80. Integration tolerance values were chosen at line 30, and a time span for the simulation is deÞned interactively at lines 46 and 47.

For Even Spacing’,... ’Spline Curve’,... ’Interpolation Points’,2) title([’SPLINE CURVE AND POLYNOMIAL ’,... ’USING EVEN SPACING’]) xlabel(’x axis’), ylabel(’function values’) % print(gcf,’-deps’,’splpofit’) shg, pause plot(xplt,yplt,’-’,xplt,yycbp,’--’,... ’,xcbp(j),ycbp(j),’s’,... ’linewidth’,2) legend(’Exact Function’,... ’Poly. for Chebyshev Points’,... ’Least Square Poly. Fit’,... ’Interpolation Points’,1) title([’LEAST SQUARE POLY. AND POLY. ’,... 4 Conformal Mapping Example This example involves analytic functions and conformal mapping.

M*X" + C*X’’ + K*X = F1*COS(W*T) + F2*SIN(W*T)’) disp(... 3; k=1; f1=1; f2=0; w=2; x0=0; v0=2; tmax=25; nt=250; else % Interactive data input [m,c,k]=inputv(... 3, 1) >> ? ’); 40: 41: [f1,f2,w]=inputv(... © 2003 by CRC Press LLC 42: ’Input f1, f2, w (try 1, 0, 2) >> ? ’); 43: 44: 45: [x0,v0]=inputv(... ’Input x0, v0 (try 0, 2) >> ? ’); 46: 47: 48: 49: [tmax,nt]=inputv(... ’Input tmax, nt (try 30, 250) >> ? ’); end 50: 51: 52: t=linspace(0,tmax,nt); X=smdsolve(m,c,k,f1,f2,w,x0,v0,t); 53: 54: 55: 56: 57: 58: 59: 60: 61: % Plot the displacement versus time plot(t,X,’k’), xlabel(’time’) ylabel(’displacement’), title(...

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Advanced Mathematics and Mechanics Applications Using MATLAB, Third Edition by David Halpern, Howard B. Wilson, Louis H. Turcotte

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