Azzera filtri
Azzera filtri

Green's Function Solution in Matlab

32 visualizzazioni (ultimi 30 giorni)
yusuf
yusuf il 4 Feb 2014
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

Risposte (2)

Ted Shultz
Ted Shultz il 16 Ott 2019
The person who asked this question has some (slow) sample code that will solve Green's function.

Sousheel reddy Lachagari
Sousheel reddy Lachagari il 4 Apr 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 Commento
Walter Roberson
Walter Roberson il 4 Apr 2022
Please add comments explaining how this implements Green's function.

Accedi per commentare.

Categorie

Scopri di più su Symbolic Math Toolbox in Help Center e File Exchange

Community Treasure Hunt

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

Start Hunting!

Translated by