I'm trying to solve a boundary value condition problem with matlab bvp4c function. But I get warning and it doesn't give correct solution. my equation is d4y/dx4=C/(ax^2 -y)^2 ,C and a are constant , my warning content is following below
Warning: Unable to meet the tolerance without using more than 2500 mesh points. The last mesh of 2152 points and the solution are available in the output argument. The maximum residual is 9.25647e+11, while requested accuracy is 0.001.
my code:
clc;clear
solinit = bvpinit([0,200],[1,1,1,1]);
sol = bvp4c(@deriv,@bcs,solinit);
plot(sol.x,sol.y)
function dydx = deriv(x,y)
c=1;a=1;
dydx = [y(2)
y(3)
y(4)
(c/(a*x.^2 -y(1)).^2)];
end
function res = bcs(ya,yb)
res = [ ya(1)
ya(2)
yb(3)
yb(4)];
end
I don't know what is its reason?!
thanks in advance for your helping
