Find root of f(x) – V = 0 where V is a vector of values using the fzero function. I understand the fzero() function finds the root where f(x) = 0 but i am trying to find the root where f(x) = V.
MATLAB: FInd root of f(x) – v = 0 where v is a vector
fzero
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Another guess:
V = ones(1, N);V(3:3:end) = 0;The fzero function is a root-finder, so the function it is given to solve must equate to 0 for any delection of independent variables. I implemented that approach in the revised coding of ‘fun’ here:
k = 0.9;n = 2;c0 = 2; %initial concentration (mol/m^3)
V = 100:10:200;F = 10:1:100;V = linspace(100, 200, 25);F = linspace(10, 100, 50);%initial guess = 0.5 (can be anything)
VF = @(x) (x)./((k*c0.^n)*((1-x).^n)); % Not Directly Used
fun = @(x,V,F) V./F - (x)./((k*c0.^n)*((1-x).^n));for k1 = 1:numel(V) for k2 = 1:numel(F) x(k2,k1) = fzero(@(x)fun(x,V(k1),F(k2)),0.5); endendfiguresurfc(V, F, x)grid onxlabel('V')ylabel('F')zlabel('Conversion')view(130,10)produces:
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