How to make the for loop the length as the array inside the for loop?

I am making a for loop and I want to subtract each element by each other. I was able to do this but my array is now 1x200 and my original array was 1x201. How do I make it so the for loop array is 1x201?
x1 = [1e6:20000:5e6];
L = 4e6; % in m
D_c = 5000;% in m
D1 = [0:25:5000];
x_o = 1e6; % in m
x_2 = [x_o:20000:5e6];
Tw_o = 300; % in K
LR_w = 0.004; % in K/m
LR_c = -0.007; % in K/m
pz_0 = 1000; % in mb
D_1 = D_c.*(sin((pi/L).*(x1-x_o)));
T_c2 = Tw_o-(((LR_w-LR_c).*D_1)-((LR_c.*D1)));
g = 9.81;
Rd = 287;
p1 = pz_0*(((((T_c2)-(LR_c.*D1))./(T_c2))).^((g)/(Rd*LR_c)));
for i = 1:length(p1)-1
deltap(i) = p1(i+1)-p1(i);
end

Answers (1)

You do not need the loop at all. Just use the diff function —
x1 = [1e6:20000:5e6];
L = 4e6; % in m
D_c = 5000;% in m
D1 = [0:25:5000];
x_o = 1e6; % in m
x_2 = [x_o:20000:5e6];
Tw_o = 300; % in K
LR_w = 0.004; % in K/m
LR_c = -0.007; % in K/m
pz_0 = 1000; % in mb
D_1 = D_c.*(sin((pi/L).*(x1-x_o)));
T_c2 = Tw_o-(((LR_w-LR_c).*D_1)-((LR_c.*D1)));
g = 9.81;
Rd = 287;
p1 = pz_0*(((((T_c2)-(LR_c.*D1))./(T_c2))).^((g)/(Rd*LR_c)));
deltap = diff(p1)
deltap = 1×200
-2.8534 -2.8634 -2.8734 -2.8835 -2.8935 -2.9036 -2.9136 -2.9237 -2.9337 -2.9437 -2.9536 -2.9635 -2.9733 -2.9831 -2.9927 -3.0023 -3.0118 -3.0212 -3.0305 -3.0396 -3.0486 -3.0574 -3.0661 -3.0746 -3.0830 -3.0911 -3.0990 -3.1068 -3.1143 -3.1215
for i = 1:length(p1)-1
deltap(i) = p1(i+1)-p1(i);
end
deltap
deltap = 1×200
-2.8534 -2.8634 -2.8734 -2.8835 -2.8935 -2.9036 -2.9136 -2.9237 -2.9337 -2.9437 -2.9536 -2.9635 -2.9733 -2.9831 -2.9927 -3.0023 -3.0118 -3.0212 -3.0305 -3.0396 -3.0486 -3.0574 -3.0661 -3.0746 -3.0830 -3.0911 -3.0990 -3.1068 -3.1143 -3.1215
If you want to calculate the numerical derivative at eash point instead, use the gradient function —
deltap = gradient(p1)
deltap = 1×201
-2.8534 -2.8584 -2.8684 -2.8784 -2.8885 -2.8985 -2.9086 -2.9186 -2.9287 -2.9387 -2.9486 -2.9585 -2.9684 -2.9782 -2.9879 -2.9975 -3.0071 -3.0165 -3.0258 -3.0350 -3.0441 -3.0530 -3.0618 -3.0704 -3.0788 -3.0870 -3.0951 -3.1029 -3.1105 -3.1179
.

2 Comments

Is there a way to get these values positive instead of negative? Thanks.
One way would be to take the absolute value (the abs function), the other, since they are uniformly negative, would be to multiply them by -1 or just use a unary negative:
deltap = -gradient(p1)
Use whatever works best in your application.
.

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Asked:

on 10 Oct 2023

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on 10 Oct 2023

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