Green's Function Solution in Matlab
29 vues (au cours des 30 derniers jours)
Afficher commentaires plus anciens
I wrote a code for stationary temperature distribution which is;
f = 0.09;
b = 0.0044;
q = 3.73e-9;
L = 1;
Tw = 250;
Tam = 27;
syms c x g
T = 2*c*cosh(x*((f-b*g)/q)^0.5)+g/(f-b*q);
c = solve(subs(T,'x',L/2)==0,c);
z = simplify(int(subs(T,'c',c),x,-L/2,L/2));
g = solve(z==L*(Tw-Tam),g)
T
Now I try to use perturbation method and find T1 temperature distribution. My equation is;
q*T1''(x)-T1(x)*(f-b*g+i*w*p)=T*(f1-b*g1)-g1
And my prof. say that can be solved by Green's function G(x,y), where the G(x,y) is soluton of;
q*G''(x,y)-G(x,y)*(f-b*g+i*w*p)=Diract(x-y)
And
G(L/2)=0 , G(-L/2)=0
if I can find the G(x,y), I will get the solution of T1.
Can anyone help me please?
Thank you for everything
Yusuf
0 commentaires
Réponses (2)
Sousheel reddy Lachagari
le 4 Avr 2022
clc
clear all
syms x y
N = input('the value of N = ');
M = input('M=')
My=diff(M,y)
Nx=diff(N,x)
x1=input('limit of x');
x2=input(' x u');
y1=input('limit of y');
y2=input('limit of y up');
I=int(int(Nx-My,y,y1,y2),x,x1,x2);
1 commentaire
Voir également
Catégories
En savoir plus sur Symbolic Math Toolbox dans Help Center et File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!