diff options
Diffstat (limited to '260/CH13/EX13.12/13_12.sce')
-rw-r--r-- | 260/CH13/EX13.12/13_12.sce | 32 |
1 files changed, 32 insertions, 0 deletions
diff --git a/260/CH13/EX13.12/13_12.sce b/260/CH13/EX13.12/13_12.sce new file mode 100644 index 000000000..4659f5353 --- /dev/null +++ b/260/CH13/EX13.12/13_12.sce @@ -0,0 +1,32 @@ +//Eg-13.12
+//pg-552
+
+clear
+clc
+
+y(1) = 1;
+
+h = 1;
+
+printf('For h = 1\n')
+printf(' x y\n')
+
+for(i = 1:3)
+ x(i) = i; //since h = 1
+ y(i+1) = y(i)/(1+2*h);
+ printf(' %f %f\n',x(i),y(i+1))
+end
+
+h = 0.5;
+printf('\nFor h = 0.5\n')
+printf(' x y\n')
+
+n = (3.0-0.5)/0.5+1;
+
+for(i = 1:n)
+ x(i) = 0.5 + (i-1)*h; //since h = 0.5
+ y(i+1) = y(i)/(1+2*h);
+ printf(' %f %f\n',x(i),y(i+1))
+end
+
+printf('Observe that the implicit method is stable for h = 1, whereas the explicit method is not.')
\ No newline at end of file |