hold on option is not working in the present code

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M = 0.2; L = 0.01; K = 0.1; G = 2; Pr = 2; s = 0.1; Ec = 0.01; m = 0.5; R = 0.5; fw = 0.5; a = 1; n = 0.5;
for M = [0 .1 .2]
for fw = [-1 0 1]/2
ODE = @(x,y)[ y(2); y(3); (y(2)^2 - y(1)*y(3) + M*y(2) - K*y(5) - L*y(6))/(1+K); y(5); (y(2)*y(4) - y(1)*y(5) + K*(2*y(4) + y(3)))/G;
y(7); Pr*( m*y(2)*y(6) - s*y(6) - Ec*y(3)^2 - y(1)*y(7) )/(1+(4/3)*R) ];
BC = @(ya,yb)[ya(1)-fw; ya(2)-1-a*(1+K)*ya(3); ya(4)+n*ya(3); ya(7)-1; yb([2;4;6])]; xa = 0; xb = 6; x = linspace(xa,xb,101);
solinit = bvpinit(x,[0 1 0 1 0 1 0]); sol = bvp5c(ODE,BC,solinit); S = deval(sol,x); f0 = deval(sol,0);
set( 0,'DefaultAxesColorOrder',[1 0 0; 0 1 0; 0 0 0] )
figure(11),plot(x,S(2,:),'LineWidth',2); hold on,
ax = gca; ax.XColor = 'black'; ax.YColor = 'black'; ax.XAxis.FontSize = 10; ax.YAxis.FontSize = 10; ax.FontWeight = 'bold';
xlabel('\bf\eta','Color','blue'); ylabel('\bff^{\prime}(\eta)','Color','blue');
L(1) = plot(nan,nan,'r-','Linewidth',2); L(2) = plot(nan,nan,'g-','Linewidth',2); L(3) = plot(nan,nan,'k-','Linewidth',2);
legend(L,{'\color{red}\bffw = - 0.5','\color{green}\bffw = 0','\color{black}\bffw = 0.5'},'Box','off');
end
end
Error using vertcat
Dimensions of arrays being concatenated are not consistent.

Error in solution (line 4)
ODE = @(x,y)[ y(2); y(3); (y(2)^2 - y(1)*y(3) + M*y(2) - K*y(5) - L*y(6))/(1+K); y(5); (y(2)*y(4) - y(1)*y(5) + K*(2*y(4) + y(3)))/G;

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

Error in bvp5c (line 135)
bvparguments(solver_name,ode,bc,solinit,options);
  4 Comments
MINATI PATRA
MINATI PATRA on 17 Sep 2021
@Adam Thanks for your suggestion, I will work on it.
@Cris What next Dear?
MINATI PATRA
MINATI PATRA on 17 Sep 2021
Due to legend style, the code stops. I think we should modify that. Please help.

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Accepted Answer

the cyclist
the cyclist on 17 Sep 2021
Edited: the cyclist on 17 Sep 2021
The problem doesn't really have anything to do with the legend. The fundamental problem is that you first define L as a parameter, but inside the for loop, you then use L as a 1x3 vector of graphics handles from the plots.
Therefore, when you get to the second iteration of the for loop, this expression
% I commented this so that it does not run
% y(2)^2 - y(1)*y(3) + M*y(2) - K*y(5) - L*y(6)
is a spurious 1x3 vector. That's why you get a concatenation error.
Change one of those variable names to something else.
L = 0.01;
K = 0.1;
G = 2;
Pr = 2;
s = 0.1;
Ec = 0.01;
m = 0.5;
R = 0.5;
a = 1;
n = 0.5;
xa = 0;
xb = 6;
x = linspace(xa,xb,101);
for M = [0 .1 .2]
for fw = [-1 0 1]/2
ODE = @(x,y)[ y(2); y(3); (y(2)^2 - y(1)*y(3) + M*y(2) - K*y(5) - L*y(6))/(1+K); y(5); (y(2)*y(4) - y(1)*y(5) + K*(2*y(4) + y(3)))/G;
y(7); Pr*( m*y(2)*y(6) - s*y(6) - Ec*y(3)^2 - y(1)*y(7) )/(1+(4/3)*R) ];
BC = @(ya,yb)[ya(1)-fw; ya(2)-1-a*(1+K)*ya(3); ya(4)+n*ya(3); ya(7)-1; yb([2;4;6])];
solinit = bvpinit(x,[0 1 0 1 0 1 0]);
sol = bvp5c(ODE,BC,solinit);
S = deval(sol,x);
set( 0,'DefaultAxesColorOrder',[1 0 0; 0 1 0; 0 0 0] )
figure(11),plot(x,S(2,:),'LineWidth',2);
hold on,
ax = gca;
ax.XColor = 'black';
ax.YColor = 'black';
ax.XAxis.FontSize = 10;
ax.YAxis.FontSize = 10;
ax.FontWeight = 'bold';
xlabel('\bf\eta','Color','blue');
ylabel('\bff^{\prime}(\eta)','Color','blue');
LL(1) = plot(nan,nan,'r-','Linewidth',2);
LL(2) = plot(nan,nan,'g-','Linewidth',2);
LL(3) = plot(nan,nan,'k-','Linewidth',2);
legend(LL,{'\color{red}\bffw = - 0.5','\color{green}\bffw = 0','\color{black}\bffw = 0.5'},'Box','off');
end
end
  2 Comments
Adam Danz
Adam Danz on 17 Sep 2021
Edited: Adam Danz on 17 Sep 2021
I've moved by duplilcate answer here since the cyclist and I answered nearly at the same time and we both came to the same conclusion.
The error occurs because you are overwriting the variable L defined in the first line of your code. Your 3 plot() commands are storing the output handles in a variable named L which overwrites L with a 1x3 vector. Then in the ODE() function, the vertical concatenation throws an error because it expects L to be a scalar value.
Solution:
Rename the 3 plot() outputs and rename the first input to your legend() funciton.
This problem may have been avoided by writing cleaner code where each statement gets its own line.
MINATI PATRA
MINATI PATRA on 18 Sep 2021
@
the cyclist
It was a huge mistake (how can I do that), Thanks for correcting.

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