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# Homework 6 - BMED 2200 Modeling Biomedical Systems 1 Spring...

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Unformatted text preview: BMED 2200 Modeling Biomedical Systems 1 Spring 2008 Homework 6 Solution 1) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-600-400-200 200 400 600 800 HW6 Backward Finite Difference Approximation x y Real .1 .05 .025 .01 %Homework 6, Backward Finite Difference Approx clear; hValues = [.1 .05 .025 .01]; xValues = [0:.01:1]; y = inline( '(4*x^5-3*x^4+5*x^3+x^2-7)*sin(3*pi*x)' ); real2ndDy = inline( '(80*x^3-36*x^2+30*x+2)*sin(3*pi*x)+(20*x^4- 12*x^3+15*x^2+2*x)*6*pi*cos(3*pi*x)-(4*x^5-3*x^4+5*x^3+x^2- 7)*9*pi^2*sin(3*pi*x)' ); xIndex = 1; for x = xValues dy(1, xIndex) = real2ndDy(x); xIndex = xIndex + 1; end hIndex = 2; for h = hValues xIndex = 1; for x = xValues dy(hIndex, xIndex) = (y(x-2*h)-2*y(x-h)+y(x))*(1/h^2); xIndex = xIndex + 1; end hIndex = hIndex + 1; end plot(xValues, dy(1,:), xValues, dy(2,:), xValues, dy(3,:), xValues, dy(4,:), xValues, dy(5,:)); title( 'HW6 Backward Finite Difference Approximation' ) xlabel( 'x' ) ylabel( 'y' ) legend( 'Real' , '.1' , '.05' , '.025' , '.01' ) 0.1 0.20....
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Homework 6 - BMED 2200 Modeling Biomedical Systems 1 Spring...

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