How can I solve simultaneously two nonlinear coupled BVP
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F''' + F*F' - (F')*(F') + 1 - M*F' = 0
G'' + P*F*G'= 0
Boundary condition:
F(0) = 0, F'(0) = 0, F'(inf) = 1
G(0) = 1, G(inf) = 0 or
G'(0) = -Bi(1 - G(0)), G(inf) = 0
where N , Bi and P are constant
I was able to solve the first equation by using the following code, but I do not no how to modify it to solve the two equations simultaneously.
function F = eqn1(t,y)
M = 0.1;
F = zeros(3,1);
F(1) = y(2);
F(2) = y(3);
F(3) = y(2)*y(2) + M*y(2) - y(1)*y(3) - 1;
function res = bc(ya,yb)
res = [ya(1);ya(2);yb(2)-1];
solt = bvpinit([0,5],[0;0;0;]);
Ans = bvp4c(@eqn1,@bc,solt);
X = Ans.x;
Y = Ans.y;
plot(X,Y)
I awaits kind responses Thanks
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