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I tried plotting two graphs with the following:
with the following output:
The second one (plot(x,1./(4*x-8'))) is showing just fine, but not the first one (plot x,y1). Y1 is a 1x1001 double array. Why is that, and how can i fix the problem?
3 commentaires
madhan ravi
le 11 Avr 2019
Since the OP removed the orginal content according to the other question the content seems to be:
clear all ;
close all;
f=@(x,y1,y2) y2;
g=@(x,y1,y2) 1/4*y1-8;
%shooting method inntialization
initialize=[-5:.05:0];
for kk=1:length(initialize)
%delta x=1
x(1)=1;
y1(1)=10;
y2(1)=initialize(kk);
h=0.001;
x_initial=x(1);
xmaxvalue=2;
n=(xmaxvalue-x_initial)/h;
%runge kutta iterations using shooting method
for i=1:n
k0 = h*f(x(i),y1(i),y2(i));
l0 = h*g(x(i),y1(i),y2(i));
k1 = h*f(x(i)+(1/2)*h,y1(i)+(1/2)*k0,y2(i)+(1/2)*l0);
l1 = h*g(x(i)+(1/2)*h,y1(i)+(1/2)*k0,y2(i)+(1/2)*l0);
k2 = h*f(x(i)+(1/2)*h,y1(i)+(1/2)*k1,y2(i)+(1/2)*l1);
l2 = h*g(x(i)+(1/2)*h,y1(i)+(1/2)*k1,y2(i)+(1/2)*l1);
k3 = h*f(x(i)+h,y1(i)+k2,y2(i)+l2);
l3 = h*g(x(i)+h,y1(i)+k2,y2(i)+l2);
x(i+1) = x_initial+i*h;
y1(i+1) = double(y1(i)+(1/6)*(k0+2*k1+2*k2+k3));
y2(i+1) = double(y2(i)+(1/6)*(l0+2*l1+2*l2+l3));
end
yy1(kk)=y1(end);
end
p=interp1(yy1',initialize',1/4);
x(1)=1;
y1(1)=1/4
y2(1)=p;
h=0.001;
x_initial = x(1);
xmaxvalue=2;
n=(xmaxvalue-x_initial)/h;
for i=1:n
k0=h*f(x(i),y1(i),y2(i));
l0=h*g(x(i),y1(i),y2(i));
k1=h*f(x(i)+(1/2)*h,y1(i)+(1/2)*k0,y2(i)+(1/2)*l0);
l1=h*g(x(i)+(1/2)*h,y1(i)+(1/2)*k0,y2(i)+(1/2)*l0);
k2=h*f(x(i)+(1/2)*h,y1(i)+(1/2)*k1,y2(i)+(1/2)*l1);
l2=h*g(x(i)+(1/2)*h,y1(i)+(1/2)*k1,y2(i)+(1/2)*l1);
k3=h*f(x(i)+h,y1(i)+k2,y2(i)+l2);
k3=h*g(x(i)+h,y1(i)+k2,y2(i)+l2);
x(i+1)=x_initial+i*h;
y1(i+1)=double(y1(i)+(1/6)*(k0+2*k1+2*k2+k3));
y2(i+1)=double(y2(i)+(1/6)*(l0+2*l1+2*l2+l3));
end
%plot the solution
figure
title('shooting method')
xlabel('t')
ylabel('y(t)')
plot(x,y1)
hold on
% make your second plot
figure
(plot(x,1./(4*x-8)'))
legend('numerical solution','exact solution')
Réponses (2)
Jon
le 10 Avr 2019
The problem is that the second plot is replacing (overwriting) the first one in the figure window. If you open up a new figure, before making the second plot you will avoid this problem. Even better, create a new figure for each plot in case you already had another one there you didn't want to overwrite, So for example:
% make new figure
figure
% make the first plot
(plot x,y1)
% make another figure
figure
% make your second plot
(plot(x,1./(4*x-8')))
Also a couple of other side comments. I agree with Stephen's comment, it is better to use the code button to insert code. Also in your specific plot command, I'm not sure what you are intending with 4*x - 8'. In this case the transpose operator (') will only be applied to the scalar value of 8, which will not have any effect.
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