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

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

Considering 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 uncomplicated, interactive surroundings of MATLAB 6.x, which incorporates a high-level programming language, flexible images services, and abundance of intrinsic services, is helping clients specialise in their purposes instead of on programming blunders. MATLAB has now leapt some distance prior to FORTRAN because the software program of selection for engineering purposes.

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Sets of x,y to specify interior’]) disp([’initial deflections ’,... ’(one pair per line)’]) for j=2:n+1,[xd(j),yd(j)]=inputv; end; disp(’ ’) disp(’Input tmax and the number of time steps’) [tmax,nt]=inputv(’(Try len/a and 40) > ? ’); disp(’ ’) © 2003 by CRC Press LLC 41: 42: 43: 44: 45: 46: 47: 48: disp(’Specify position x=x0 where the time’) x0=input(... ’history is to be evaluated (try len/4) > ? ’); disp(’ ’) disp(’Specify time t=t0 when the deflection’) t0=input(’curve is to be plotted > ?

The corner rounding remains noticeable even when m = 1000 is used. Later in this book we will visit the mapping problem again to show that a better approximation is obtainable using rational functions. Routine squarrun Line Operation 20-41 functions input, disp, fprintf, and read are used to input data interactively. Several different methods of printing were used for purposes of illustration rather than necessity. 45 function squarmap generates results. 49 function genprint is a system dependent routine which is used to create plot Þles for later printing.

Interp1(xd,yd,rem(abs(xp),p),... *interp1(xd,yd,... rem(abs(xm),p),’linear’,’extrap’))/2; Y=reshape(Y,shape); 151: 152: %=============================================== 153: 154: 155: 156: 157: 158: 159: 160: 161: 162: 163: 164: 165: function animate(x,y,titl,tim,trace) % % animate(x,y,titl,tim,trace) % ~~~~~~~~~~~~~~~~~~~~~~~~~~~ % This function performs animation of a 2D curve % x,y - arrays with columns containing curve positions % for successive times. x can also be a single % vector if x values do not change.

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