Unable to solve the collocation equations -- a singular Jacobian encountered
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b1 = 0.1; b2 = 0.01; A = 0.1; L = 1; b = 0.3; M = 1; R = 2; E = 1; Pr = 2; N = 2; rho = 1; a1 = 1; Ec = 10; G = 1;
BC = @(ya,yb)[ya(1)-R; ya([2;7])-1; yb([1;2;7;9]); yb(5)+ yb(1); yb(6)-E;];
ODE = @(x,y) [y(2); y(3); exp(b1*y(7))*(-L*b*y(4)*(y(4)-y(2))+M*y(2)+y(2)^2-y(1)*y(3)+A*(y(2)+(x/2)*y(3)))+b1*y(8)*y(3);
(b*(y(2)-y(4))-y(4)^2-A*y(4))/(y(5)+A.*(x/2)); (b*(y(2)+y(5))-A*y(5))/(y(5)+A.*(x/2));
-(y(6)*(y(4)+(b*(y(2)+y(5))-A*y(5))/(y(5)+A.*(x/2))))/y(5); y(8);
(2*y(2)*y(7)-y(1)*b2*y(8)+(A/2)*(4*y(7)+x*y(8))-(N/rho)*(a1*(y(9)-y(7))+b*Ec*(y(4)-y(1))^2))/(1+b2*y(7));
(a1*G*(y(7)-y(9))-2*(A+y(4))*y(9)-(A.*x/2)*y(8))/y(5);];
xa = 0; xb = 6; x = linspace(xa,xb,100);solinit = bvpinit(x,[R 1 1 0 1 0 1 1 E]);
sol = bvp5c(ODE,BC,solinit); S = deval(sol,x);
figure(2),plot(x,S(2,:),'Linewidth',1.5);xlabel('\bf\eta');ylabel('\bff^\prime(\eta)');hold on
%% when I run this code ERROR comes
2 Comments
John D'Errico
on 23 Oct 2020
Edited: John D'Errico
on 23 Oct 2020
Don't add answers asking people to look at your question. If someone wants to answer your question, they will.
And if you want to make a comment, use a comment.
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