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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/CH13/EX13.16/13_16.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/CH13/EX13.16/13_16.sce')
| -rw-r--r-- | 260/CH13/EX13.16/13_16.sce | 52 |
1 files changed, 52 insertions, 0 deletions
diff --git a/260/CH13/EX13.16/13_16.sce b/260/CH13/EX13.16/13_16.sce new file mode 100644 index 000000000..23da481da --- /dev/null +++ b/260/CH13/EX13.16/13_16.sce @@ -0,0 +1,52 @@ +//Eg-13.16
+//pg-562
+
+clear
+clc
+
+deff('out = func(in1,in2)','out = sin(in1)-in2')
+
+//To get the answers in the text book we shouldn't take sint=Vs to be unity!
+
+x(1) = 0;
+y(1) = 0;
+
+h = 0.1;
+
+for(i = 1:10)
+ x(i+1) = x(i) + h;
+end
+
+a = (2^0.5-1)/2;
+b = (2-2^0.5)/2;
+c = -(2^0.5)/2;
+d = 1 + (2^0.5)/2;
+
+printf(' t y\n')
+
+for(i = 1:4)
+
+ k1(i) = h*func(x(i),y(i));
+ k2(i) = h*func(x(i)+h/2,y(i)+k1(i)/2);
+ k3(i) = h*func(x(i)+h/2,y(i)+a*k1(i)+b*k2(i));
+ k4(i) = h*func(x(i)+h,y(i)+c*k2(i)+d*k3(i));
+ y(i+1) = y(i) + 1/6*(k1(i)+2*b*k2(i)+2*d*k3(i)+k4(i));
+ printf('%f %f\n',x(i),y(i))
+
+end
+
+h = 0.1;
+
+for(i = 4:10)
+ yb(i+1) = y(i-3) + 4*h/3*(2*func(x(i-1),y(i-1)) + 2*func(x(i-2),y(i-2)));
+ y(i+1) = y(i-1) + h/3*(func(x(i-1),y(i-1)) + 4*func(x(i),y(i)) + func(x(i+1),yb(i+1)) );
+
+
+end
+
+printf('\n\nUsing the Milnes predictor-corrector Method:\n\n')
+
+printf(' t y\n')
+for(i = 5:11)
+ printf('%f %f\n',x(i),y(i))
+end
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