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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/EX13.4/13_4.sce | |
| parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
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initial commit / add all books
Diffstat (limited to '260/CH13/EX13.4/13_4.sce')
| -rw-r--r-- | 260/CH13/EX13.4/13_4.sce | 38 |
1 files changed, 38 insertions, 0 deletions
diff --git a/260/CH13/EX13.4/13_4.sce b/260/CH13/EX13.4/13_4.sce new file mode 100644 index 000000000..f67c1c3a0 --- /dev/null +++ b/260/CH13/EX13.4/13_4.sce @@ -0,0 +1,38 @@ +// about the analytical integration for the analytical solution
+//Eg-13.4
+//pg-529
+
+clear
+clc
+
+
+x(1) = 0;
+yb(1) = 0;
+y(1) = 1; //Initial condition
+h = 0.1;
+deff('out = func(in1,in2)','out = 0.5*(1+in1)*in2^2')
+
+//Taking the exact values using the expression calculated analytically as y = 4/(4-2*x-x^2)
+z(1) = exp(x(1)^3/3);
+
+for(i = 2:11)
+
+ x(i) = 0.1+(i-2)*0.1;
+ z(i+1) = 4/(4-2*x(i)-x(i)^2);
+end
+
+for(i = 1:10)
+ yb(i+1) = y(i) + h*func(x(i),y(i));
+ y(i+1) = y(i) + h/2*(func(x(i),y(i)) + func(x(i+1),yb(i+1)));
+end
+
+
+
+printf(' x yPc yExact\n')
+
+for(i = 2:11)
+ printf('%f %f %f\n',x(i),y(i),z(i+1))
+end
+
+printf('\nSolving analytically gives :\n')
+printf('y = 4/(4-2*x-x^2)\n')
\ No newline at end of file |