3.0 4.5 7.0 2.5 9.0 0.5 f(x) 2.5 1.0 a) By using Quadratic Spline Method, determine the 8 simultaneous equations used to form the matrix [4.5 1 0 0 0 0 0b, 0||C1 0 0 |a2 1 0 20.25 4.5 1 1 49 7 1 2.5 49 7 1||b, |2.5 3 1 0 || C2 2.5 0 81 1 |az 0|b, 1 0 -14 -1 0 ||c, 9. 0.5 1 -9 -1 0 14

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
4.5
3.0
2.5
7.0
9.0
f(x)
1.0
2.5
0.5
a) By using Quadratic Spline Method, determine the 8 simultaneous equations used to form the
matrix
4.5 1
0 0
1
O 20.25 4.5 1
1
49
7
1
0 ||a,
1 ||b,
2.5
|2.5
2.5
49
7
3
1
0 ||C2
1 ||a;
0 0 |b,
1 0 -14 -1 0 ||c,
81
9
0.5
1
-6-
-1 0
14
Transcribed Image Text:4.5 3.0 2.5 7.0 9.0 f(x) 1.0 2.5 0.5 a) By using Quadratic Spline Method, determine the 8 simultaneous equations used to form the matrix 4.5 1 0 0 1 O 20.25 4.5 1 1 49 7 1 0 ||a, 1 ||b, 2.5 |2.5 2.5 49 7 3 1 0 ||C2 1 ||a; 0 0 |b, 1 0 -14 -1 0 ||c, 81 9 0.5 1 -6- -1 0 14
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