how can i get the values of y1, y2? i am only getting the graph.

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function Shrinking_bvp4c
clc
clear all
clear all
% defining parameters
k=0.2,K=0.2,M=0.2,S=2;
sol1 = bvpinit(linspace(0,3,30),[1 0 1 0]);
sol = bvp4c(@bvp2D,@bc2D,sol1);
x = sol.x;
y = sol.y;
%%% Plotting of the velocity
figure (1)
plot(x, y(2, :) ,'linewidth', 1)
hold on
xlabel('\eta', 'fontweight', 'bold', 'fontsize', 16)
ylabel('f^/(\eta)', 'fontweight', 'bold', 'fontsize', 16)
%% Residual of the boundary conditions
function residual = bc2D(y0, yinf)
residual=[y0(1)-S; y0(2)+1; yinf(2); yinf(3)];
end
%% System of First Order ODEs
function yvector = bvp2D(t,y)
yy1 = 1/y(1)*(y(2)*y(2)-y(1)*y(3)-y(4)+k*(2*y(2)*y(4)-y(3)*y(3))+M*y(2)+K*y(2));
yvector = [y(2);y(3);y(4);yy1];
end
end

采纳的回答

Stephen23
Stephen23 2025-4-2
编辑:Stephen23 2025-4-2
Return them as function outputs:
[x,y] = Shrinking_bvp4c % here are the values
x = 1×33
0 0.1034 0.2586 0.4138 0.5690 0.7241 0.8793 1.0345 1.1897 1.3448 1.4483 1.5517 1.6552 1.7586 1.8103 1.8621 1.9138 1.9655 2.0172 2.0690 2.1207 2.1724 2.2241 2.2759 2.3276 2.3793 2.4310 2.4828 2.5862 2.6897
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
y = 4×33
2.0000 1.8989 1.7565 1.6258 1.5074 1.4016 1.3084 1.2276 1.1587 1.1012 1.0687 1.0406 1.0165 0.9963 0.9874 0.9794 0.9721 0.9656 0.9598 0.9546 0.9500 0.9459 0.9424 0.9394 0.9368 0.9346 0.9328 0.9313 0.9291 0.9278 -1.0000 -0.9542 -0.8807 -0.8030 -0.7226 -0.6412 -0.5603 -0.4816 -0.4065 -0.3361 -0.2924 -0.2516 -0.2137 -0.1790 -0.1629 -0.1476 -0.1331 -0.1194 -0.1066 -0.0945 -0.0833 -0.0728 -0.0632 -0.0543 -0.0462 -0.0388 -0.0321 -0.0261 -0.0162 -0.0088 0.4296 0.4562 0.4886 0.5112 0.5232 0.5247 0.5158 0.4972 0.4700 0.4354 0.4091 0.3807 0.3507 0.3197 0.3040 0.2881 0.2723 0.2564 0.2407 0.2250 0.2095 0.1942 0.1792 0.1644 0.1500 0.1359 0.1222 0.1088 0.0834 0.0597 0.2759 0.2389 0.1778 0.1119 0.0436 -0.0244 -0.0895 -0.1490 -0.2008 -0.2430 -0.2653 -0.2828 -0.2954 -0.3033 -0.3055 -0.3066 -0.3067 -0.3058 -0.3039 -0.3012 -0.2976 -0.2932 -0.2881 -0.2824 -0.2761 -0.2692 -0.2618 -0.2541 -0.2375 -0.2199
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
plot(x, y(2, :) ,'linewidth', 1)
hold on
xlabel('\eta', 'fontweight', 'bold', 'fontsize', 16)
ylabel('f^/(\eta)', 'fontweight', 'bold', 'fontsize', 16)
function [x,y] = Shrinking_bvp4c % <- define the output arguments here.
%!!!!!!!!!!! Do NOT put anti-pattern CLEAR at the top of a function !!!!!!!!!!
% defining parameters
k=0.2;
K=0.2;
M=0.2;
S=2;
sol1 = bvpinit(linspace(0,3,30),[1 0 1 0]);
sol = bvp4c(@bvp2D,@bc2D,sol1);
x = sol.x;
y = sol.y;
%% Residual of the boundary conditions
function residual = bc2D(y0, yinf)
residual=[y0(1)-S; y0(2)+1; yinf(2); yinf(3)];
end
%% System of First Order ODEs
function yvector = bvp2D(t,y)
yy1 = 1/y(1)*(y(2)*y(2)-y(1)*y(3)-y(4)+k*(2*y(2)*y(4)-y(3)*y(3))+M*y(2)+K*y(2));
yvector = [y(2);y(3);y(4);yy1];
end
end
  2 个评论
Saswati
Saswati 2025-4-2
function [x,y]=Shrinking_bvp4c
if I put the above line , I am only getting the values of x. how to get values of y?
Stephen23
Stephen23 2025-4-2
"if I put the above line , I am only getting the values of x. how to get values of y?"
I already showed you that in my answer (and also linked to the documentation which explains how).
Here it is again, you have to call your function with TWO output arguments (not ONE like you are doing):
[x,y] = Shrinking_bvp4c
%^^^ !!!! you need TWO output arguments when you call the function !!!!
Lots of MATLAB functions have multiple outputs, this is a very important basic MATLAB syntax.

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