PDE and ODE couple system solving
    2 views (last 30 days)
  
       Show older comments
    
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.
Answers (0)
See Also
Categories
				Find more on Boundary Conditions in Help Center and File Exchange
			
	Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!