solve equation without fsolve

6 次查看(过去 30 天)
Max Bernstein
Max Bernstein 2011-10-18
Hello,
I have the following equation that I'm trying to solve. I need to solve for T for a very long array of known RT
function RT=RTD(T)
a=0.003925;
b=0.110361;
d=1.492690;
R0=100;
RT=R0*(1+a*(1+d/100)*T-a*d/100^2*T^2+a*b/100^3*T^3-a*b/100^4*T^4);
I dont think I have fsolve or symbolic toolbox installed. Is there anyway to automate this without using those?
Thanks

回答(3 个)

Naz
Naz 2011-10-19
Assuming that each RT will yield four roots:
a=0.003925;
b=0.110361;
d=1.492690;
R0=100;
T=zeros(4,length(RT));
for n=1:length(RT)
T(:,n)=roots(-a*b/100^4*R0 a*b/100^3*R0 -a*d/100^2*R0 a*(1+d/100)*R0 (1-RT(n))*R0);
end
If you want to create an actual function, go to file->new->script and paste the following:
function [T]=RTD(RT)
a=0.003925;
b=0.110361;
d=1.492690;
R0=100;
T=zeros(4,length(RT));
for n=1:length(RT)
T(:,n)=roots(-a*b/100^4*R0 a*b/100^3*R0 -a*d/100^2*R0 a*(1+d/100)*R0 (1-RT(n))*R0);
end
end
Then you can call this function and pass your array of RT. The function will return you an array of T.
T=RTD(RT)
P.S. Make sure there is enough parenthesis in the equation so the coefficients are calculated properly. I recommend to calculate the coefficients prior sending them to roots function. This also will save some time, since the coefficients will be calculated only once instead of each loop.
  1 个评论
Walter Roberson
Walter Roberson 2011-10-19
You left out the [] in that roots() call, so this code will end up taking roots() of a scalar.

请先登录,再进行评论。


Andrei Bobrov
Andrei Bobrov 2011-10-19
a=0.003925;
b=0.110361;
d=1.492690;
R0=100;
syms k T
cf = coeffs(k-R0*(1+a*(1+d/100)*T-a*d/100^2*T^2+a*b/100^3*T^3-a*b/100^4*T^4),T)
fcf = matlabFunction(cf(end:-1:1))
RTD = @(RT)cell2mat(arrayfun(@(x)roots(fcf(x)),RT,'un',0))
use function RTD
T = RTD(RT)
  1 个评论
Valerio
Valerio 2013-7-18
I have used your proposed solution, but the output variable of Temp = RTD(RT) is the sym T. What is the problem? Can you help me?
Thanks

请先登录,再进行评论。


Walter Roberson
Walter Roberson 2011-10-18
roots( [R0*a*b, -100*R0*a*b, 10000*R0*a*d, -100000000*R0*a-1000000*R0*a*d, -100000000*R0+100000000*RT] )
Note that roots() can only process one set of coefficients at a time: it is not vectorized.

类别

Help CenterFile Exchange 中查找有关 Symbolic Math Toolbox 的更多信息

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by