How to solve for gamma
3 Ansichten (letzte 30 Tage)
Ältere Kommentare anzeigen
Hello, I'm trying to solve for gamma in this equation, I was hoping if someone can help out.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1217147/image.jpeg)
considering everything else is a constant that can be put as an input.
2 Kommentare
Torsten
am 2 Dez. 2022
An analytical expression for gamma does not seem possible.
Use "fzero" or "fsolve" as numerical root finders for
left-hand side(gamma) - right-hand side(gamma) = 0
Akzeptierte Antwort
Torsten
am 2 Dez. 2022
Bearbeitet: Torsten
am 2 Dez. 2022
format long
dbs=5.3e-10;
das=1.01e-9;
cb=4e3;
ca=1e3;
x0 =0;
options = optimset('TolX',1e-14,'TolFun',1e-14);
x = fsolve(@(x)myfun(x,dbs,das,cb,ca),x0,options)
myfun(x,dbs,das,cb,ca)
function F = myfun(x,dbs,das,cb,ca)
F = (1-erf(sqrt(x/dbs)))-(((cb/ca)*sqrt(dbs/das))*(erf(sqrt(x/das)))*(exp((x/das)-(x/dbs))));
end
5 Kommentare
Torsten
am 5 Dez. 2022
Bearbeitet: Torsten
am 5 Dez. 2022
Seems your equation has multiple solutions.
A good idea is always to plot the function to have a good guess for the solution.
dbs=5.3e-10;
das=1.01e-9;
cb=4e3;
ca=1e3;
F = @(x)(1-erf(sqrt(x/dbs)))-(((cb/ca)*sqrt(dbs/das))*(erf(sqrt(x/das))).*(exp((x/das)-(x/dbs))));
x = 0:1e-12:2e-10;
plot(x,F(x))
sol = fzero(F,[0 1e-9])
F(sol)
Weitere Antworten (0)
Siehe auch
Kategorien
Mehr zu Bodies finden Sie in Help Center und File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!