What changes are needed to run the code

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MINATI PATRA
MINATI PATRA on 16 Nov 2021
Commented: Jan on 6 Dec 2021
Psi = pi/2; L1 = 0.1; L2 = 0.1; L = 0.1; Pr = 1; M = 5;
Ec = 0.5; Nb = 0.5; Nt = 0.1; fw = 0.5; Q = 0.1; Le = 2; Kc = 1;
A = linspace(-1,1,101);
for L = [1 2 3]/10
BC = @(ya,yb)[ ya(1)-fw; ya(2)+1; ya([4;7])-1; yb([2;4;6]) ];
ODE = @(x,y)[ y(2); y(3); ( A.*(y(2)+(1/2)*x*y(3)) - y(1)*y(3) + y(2)*( y(2)+M^2*(sin(Psi))^2) - L1*y(4) - L2*y(6))/(1+(1/L));
y(5); -Pr*( y(1)*y(5) - (1/2)*A.*x*y(5) + Nb*y(5)*y(7) + Nt*y(5)^2 + M^2*Ec*y(2)^2+Q*y(4) );
y(7); -Le*Pr*( y(1)*y(7)-(1/2)*A.*x*y(7)-Kc*y(6) ) - (Nt/Nb)*(-Pr*( y(1)*y(5) - (1/2)*A.*x*y(5) + Nb*y(5)*y(7) + Nt*y(5)^2 + M^2*Ec*y(2)^2+Q*y(4) )) ];
xa = 0; xb = 6; xn = linspace(xa,xb,101); x = xn; solinit = bvpinit(x,[0 1 0 1 0 1 0]); sol = bvp5c(ODE,BC,solinit);
S = deval(sol,x); f0 = deval(sol,xa);
figure(1);plot(A,S(2,:),'-','LineWidth',2);xlabel('\bf\eta','color','b'); ylabel('\bff^\prime(\eta)','color','b');hold on,
end
Error using vertcat
Dimensions of arrays being concatenated are not consistent.

Error in solution (line 6)
ODE = @(x,y)[ y(2); y(3); ( A.*(y(2)+(1/2)*x*y(3)) - y(1)*y(3) + y(2)*( y(2)+M^2*(sin(Psi))^2) - L1*y(4) - L2*y(6))/(1+(1/L));

Error in bvparguments (line 105)
testODE = ode(x1,y1,odeExtras{:});

Error in bvp5c (line 129)
bvparguments(solver_name,ode,bc,solinit,options);
%% ERROR is:
Dimensions of matrices being concatenated are not consistent.
%% Help needed to run

Answers (1)

Jan
Jan on 16 Nov 2021
Edited: Jan on 16 Nov 2021
ODE = @(x,y) [ ...
y(2); ...
y(3); ...
(A.*(y(2)+0.5*x*y(3)) - y(1)*y(3) + y(2)*( y(2)+M^2*(sin(Psi))^2) - L1*y(4) - L2*y(6))/(1+(1/L)); ...
y(5); ...
-Pr*(y(1)*y(5) - 0.5*A.*x*y(5) + Nb*y(5)*y(7) + Nt*y(5)^2 + M^2*Ec*y(2)^2+Q*y(4)); ...
y(7); ...
-Le*Pr*(y(1)*y(7) - 0.5*A.*x*y(7)-Kc*y(6)) - (Nt/Nb)*(-Pr*(y(1)*y(5) - 0.5*A.*x*y(5) + Nb*y(5)*y(7) + Nt*y(5)^2 + M^2*Ec*y(2)^2+Q*y(4)))];
Yes, the 3rd, 5th and 7th element have the size 1x101, while the others are scalars. This comes from the vector A. I cannot guess, what you want to do instead.
  7 Comments
Jan
Jan on 6 Dec 2021
I'm not sure, which problem is still open. The code of my answer is running, and only the diagram looks a little bit strange. I do not know, what you want to get instead of this solution. So please explain again, what is still unsolved.

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