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ASE 311 Extra Credit

# ASE 311 Extra Credit - >> yit =-10*exp-2*xi*xi...

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ASE 311 Extra Credit 1.) function yia = implementation(xp,yp,xi) n = length(xp)-1; yia = 0; for i = 1 : n + 1 dk1 = yp(i); for k = 1 : n + 1 if (k~=i) dk1 = dk1./(xp(i) - xp(k)); end end yja = 0; for j = 1 : n + 1 if (j~=i) dk2 = 1; for k = 1 : n + 1 if (k~=i && k~=j) dk2 = dk2.*(xi - xp(k)); end end yja = yja + dk2; end end yia = yia + ((dk1).* yja); end >> xp = [ 0.6 1.5 1.6 2.5 3.5 ]; >> yp = [ 0.9036 0.3734 0.3261 0.08422 0.01596 ]; >> xi = linspace(-0.6,3.5,291); >> yia = implementation(xp,yp,xi);

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Unformatted text preview: >> yit = -10*exp(-2*xi).*xi + 5*exp(-2*xi); >> plot(xi, yia, xi, yit) 0.5 1 1.5 2 2.5 3 3.5-0.7-0.6-0.5-0.4-0.3-0.2-0.1 Lagrange Interpolation Derivative Exact Solution Derivative 2.) >> xp = [ 0.6 1.5 1.6 2.5 3.5 ]; >> yp = [ 0.9036 0.3734 0.3261 0.08422 0.01596 ]; >> xi = linspace(0.6,3.5,291); >> yia = implementation(xp,yp,xi); >> yit= -10*exp(-2*xi).*xi + 5*exp(-2*xi); >> sqrt(trapz(xi, (yia-yit).^2)) ans = 0.0978...
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