Equations

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ricco
ricco 2011-11-7
Is it possible to solve an integral equation in matlab? I am writing a script for calculating some parameters in lake dynamics and one of the equation is the Schmidt stability:
S=(g/As).*int_{0}^{Zd}((Z-Zv).*rho.*Az)dz
where dz refers to partial z so integrate with respect to z.
If I have all of the variables which fit into the equation how do I go about solving it in matlab.
thanks

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回答（1 个）

Andrei Bobrov
Andrei Bobrov 2011-11-7
variant 1
S = ...;
g = ...;
As = ...;
Zv = ...;
rho = ...;
Az = ...;
out = fzero(@(Zd)S-g/As.*quad(@(Z)(Z-Zv).*rho.*Az,0,Zd),0);
please read doc fzero and doc quad
variant 2
syms S g As Z Zv rho Az Zd real
out1 = solve(S-g/As*int((Z-Zv)*rho*Az,Z,0,Zd),Zd)

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