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| author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
|---|---|---|
| committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
| commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
| tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /260/CH12/EX12.4/12_4.sce | |
| parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
| download | Scilab-TBC-Uploads-7f60ea012dd2524dae921a2a35adbf7ef21f2bb6.tar.gz Scilab-TBC-Uploads-7f60ea012dd2524dae921a2a35adbf7ef21f2bb6.tar.bz2 Scilab-TBC-Uploads-7f60ea012dd2524dae921a2a35adbf7ef21f2bb6.zip | |
initial commit / add all books
Diffstat (limited to '260/CH12/EX12.4/12_4.sce')
| -rw-r--r-- | 260/CH12/EX12.4/12_4.sce | 37 |
1 files changed, 37 insertions, 0 deletions
diff --git a/260/CH12/EX12.4/12_4.sce b/260/CH12/EX12.4/12_4.sce new file mode 100644 index 000000000..03d55a184 --- /dev/null +++ b/260/CH12/EX12.4/12_4.sce @@ -0,0 +1,37 @@ +//Eg-12.4
+//pg-514
+
+clear
+clc
+
+x = 0.01;
+h1 = 0.0001;
+h2 = h1/2;
+
+Re = 10^4;
+
+deff('out = func(in)','out = 1/in^0.5 - 1.77*log(Re*in^0.5) + 0.6')
+
+//Using central difference formula
+
+Dh11 = (func(x+h1)-func(x-h1))/(2*h1);
+
+Dh21 = (func(x+h2)-func(x-h2))/(2*h2);
+
+Dh12 = (-func(x+2*h1) + 16*func(x+h1) - 30*func(x) + 16*func(x-h1) - func(x-2*h1))/(12*h1^2);
+
+Dh22 = (-func(x+2*h2) + 16*func(x+h2) - 30*func(x) + 16*func(x-h2) - func(x-2*h2))/(12*h2^2);
+
+
+
+//Using equation [16],
+
+D1new = 4/3*Dh21 - 1/3*Dh11;
+
+D2new = 4/3*Dh22 - 1/3*Dh12;
+
+printf('First Derivative = %f\n',D1new)
+printf('Second Derivative = %f\n',D2new)
+
+printf('\nAnalytically : \n')
+printf('First Derivative = -588.5\nSecond Derivative = 83850\n')
\ No newline at end of file |