PDE and ODE couple system solving

2 visualizaciones (últimos 30 días)
Danila Zharenkov
Danila Zharenkov el 19 de Mayo de 2013
Hello, I have to solve the following system https://dl.dropboxusercontent.com/u/12616416/system.jpg But I don't know what to do with integral and how to solve such type of system. The system can't be solved for s->infinity, so I uses s->10. I tried to solve this system without integral using pdepe function
%PDE and ODE system
function [ a,b,c ] = eqn1( s,t,u,DuDs )
alpha=0.001;
m=0.08;
b=20;
q=0.02;
a=[1; 1];
b=[0; 1e-6] .*DuDs;
c=[b-u(1)-q*u(1); alpha*s*u(1)*u(2)-m*u(2)];
end
% initial conditions
function u0 = initial1(s)
switch s
case (s>=0.9975 & s<1)
value=8*(s-0.9975);
case (s>=1 & s<1.005)
value=0.02;
case (s>=1.005& s<=1.0075)
value=8*(1.0075-s);
otherwise
value=0;
end
u0=[1000; value];
end
%boundary conditions
function [ pl,ql,pr,qr ] = bc1( sl,ul,sr,ur,t )
pl=0;
ql=1;
pr=ur;
qr=10;
end
But matlab writes, that boundary conditions for first equation are nessesary. Can you please give me some advice for this problem? Thanks.
  1 comentario
Danila Zharenkov
Danila Zharenkov el 19 de Mayo de 2013
I tried to modify boundary conditions like this
pl=vl;
ql=[0,1];
pr=vr;
qr=[0,10];
Is this the right way?

Iniciar sesión para comentar.

Respuestas (0)

Community Treasure Hunt

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

Start Hunting!

Translated by