where is the error in my code?
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Hi every one,
when I run the following code, I get a plot with unexpected two lines as circled by the red lines in the image attached! where is the error because we do not expect these lines to appear according to the physical equations? 

V1 = @(r,w) -acosh(10*(w/(1600*r + 21))^(1/2))/20000000000
V2 = @(r,w) acosh(10*(w/(1600*r + 21))^(1/2))/20000000000
% Define function to be integrated
fun = @(x,r,w)0.0018./((w./((cosh(10^10.*x./0.5)).^2)-(r.*16+0.21)).^(1/2));
www = @(w,r)5.124-6.4*10^-6.*(exp(-215.6*0.5*(w.^(1/2)-(r.*16+0.21).^(1/2))).*log10((exp(-215.6*0.5*(w.^(1/2)-(r.*16+0.21).^(1/2)))))./(r.*(integral(@(x)fun(x,r,w),V1(r,w),V2(r,w)))))-(exp(-37.45.*r).*(70.31));
fimplicit(www,[0 5 0 0.075],'MeshDensity',500, 'LineWidth',1.5),grid
15 个评论
Torsten
2022-6-19
I suggest you make a surface plot of www in the region of interest to see what happens.
help surf
Abdallah Qaswal
2022-6-20
Abdallah Qaswal
2022-6-20
The part of your formula
...^(1/2))).log10(...
is incorrect. There must be a * or / before the log10.
w = 0:0.05:5;
r = 0.001:0.001:0.075;
[W,R]=meshgrid(w,r);
www = @(w,r)5.124-6.4*10^-6.*(exp(-215.6*0.5*(w.^(1/2)-(r.*16+0.21).^(1/2))).log10(exp(-215.6*0.5*(w.^(1/2)-(r.*16+0.21).^(1/2))))/(r.*(integral(@(x)fun(x,r,w),V1(r,w),V2(r,w)))))-(exp(-37.45.*r).*(70.31));
surf(W,R,www(W,R))
Abdallah Qaswal
2022-6-20
See the modified code from above.
You will have to check where and why the Inf and NaN values in the surface plotting appear.
I suggest you make a matrix M and inspect it:
w = 0:0.05:5;
r = 0.001:0.001:0.075;
[W,R]=meshgrid(w,r);
V1 = @(r,w) -acosh(10*(w./(1600*r + 21)).^(1/2))/20000000000;
V2 = @(r,w) acosh(10*(w./(1600*r + 21)).^(1/2))/20000000000;
% Define function to be integrated
fun = @(x,r,w)0.0018./((w./((cosh(10^10.*x./0.5)).^2)-(r.*16+0.21)).^(1/2));
www = @(w,r)5.124-6.4*10^-6.*(exp(-215.6*0.5*(w.^(1/2)-(r.*16+0.21).^(1/2))).*log10(exp(-215.6*0.5*(w.^(1/2)-(r.*16+0.21).^(1/2))))./(r.*(arrayfun(@(r,w)integral(@(x)fun(x,r,w),V1(r,w),V2(r,w)),R,W))))-(exp(-37.45.*r).*(70.31));
WWW = www(W,R);
M(:,:,1) = W;
M(:,:,2) = R;
M(:,:,3) = WWW;
M(:,:,3)
Abdallah Qaswal
2022-6-20
Abdallah Qaswal
2022-6-20
Abdallah Qaswal
2022-6-20
Abdallah Qaswal
2022-6-20
Torsten
2022-6-20
log10(exp(-215.6*0.5*(w.^(1/2)-(r.*16+0.21).^(1/2)))) =
-215.6*0.5*(w.^(1/2)-(r.*16+0.21).^(1/2)) / log(10)
Maybe this helps.
Abdallah Qaswal
2022-6-20
Abdallah Qaswal
2022-6-20
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