diff options
| author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
|---|---|---|
| committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
| commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
| tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /260/CH10/EX10.10 | |
| 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/CH10/EX10.10')
| -rw-r--r-- | 260/CH10/EX10.10/10_10.sce | 53 |
1 files changed, 53 insertions, 0 deletions
diff --git a/260/CH10/EX10.10/10_10.sce b/260/CH10/EX10.10/10_10.sce new file mode 100644 index 000000000..b7313da96 --- /dev/null +++ b/260/CH10/EX10.10/10_10.sce @@ -0,0 +1,53 @@ +//Eg-10.10
+//pg-449
+
+clear
+clc
+
+x = [1 2 4];
+y = [5 8.6 3.1];
+
+//Refer to pg-448 for these conditions
+//condition 1 gives
+// 4a1 + 2b1 + c1 = 8.6
+//condition 2 gives
+// 16a1 + 4b1+c1 = 3.1
+//condition 3 gives
+// 4a0 + b0 = 4a1 + b1
+//condition 4 gives
+// a0 = 0
+
+A = [2 1 0 0 0;0 0 4 2 1;1 1 0 0 0;0 0 16 4 1;1 0 -4 -1 0];
+B = [8.6;8.6;5;3.1;0];
+
+//The above conditions repesented in matrix equation form Ax = B can be solved for x as
+//x = [b0;c0;a1;b1;c1]
+
+x = inv(A)*B;
+
+b0 = x(1);
+c0 = x(2);
+a1 = x(3);
+b1 = x(4);
+c1 = x(5);
+
+x = poly(0,'x');
+
+printf('The expressions for the splines are \n')
+p = b0*x + c0;
+q = a1*x^2 + b1*x + c1;
+
+disp(p,q)
+
+x1 = 1:0.01:2;
+x2 = 2:0.01:4;
+
+y1 = horner(p,x1);
+y2 = horner(q,x2);
+
+plot(x1,y1,x2,y2)
+
+xlabel('x')
+ylabel('y')
+
+legend('Spline 1','Spline 2')
\ No newline at end of file |