For Gauss Elimination, Doolittle and Crout's Method: Correlate the final solutions (X₁, X2, X3). 3x₁ -0.1x₂ -0.2x3 = 7.85 0.1x₁ + 7x₂ -0.3x3 = -19.3 0.3x₁ -0.2x₂ + 10x3 = 71.4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For Gauss Elimination, Doolittle and Crout's Method: Correlate the final solutions (x1, X2,
х).
3x, - 0.1x2 – 0.2x; = 7.85
0.1x, + 7x2 - 0.3x, = -19.3
0.3x, - 0.2x2 + 10x3 = 71.4
For Thomas Algorithm: Solve the given tridiagonal system by means of Thomas Algorithm
(X1, X2, X3, X4).
X1 + 4x2 = 10
2x, + 10x2 - 4x3 =7
X2 + 8x3 - X4 = 6
X3 - 6x4 = 4
For Gauss Jacobi's and Gauss Seidel Method up to 5th iteration. Use the table below.
3x, - 0.1x2 - 0.2x3 = 7.85
0.1x1 + 7x2 - 0.3x3 = -19.3
0.3x1 - 0.2x2 + 10x3 = 71.4
| Xn
1
3
4
Transcribed Image Text:For Gauss Elimination, Doolittle and Crout's Method: Correlate the final solutions (x1, X2, х). 3x, - 0.1x2 – 0.2x; = 7.85 0.1x, + 7x2 - 0.3x, = -19.3 0.3x, - 0.2x2 + 10x3 = 71.4 For Thomas Algorithm: Solve the given tridiagonal system by means of Thomas Algorithm (X1, X2, X3, X4). X1 + 4x2 = 10 2x, + 10x2 - 4x3 =7 X2 + 8x3 - X4 = 6 X3 - 6x4 = 4 For Gauss Jacobi's and Gauss Seidel Method up to 5th iteration. Use the table below. 3x, - 0.1x2 - 0.2x3 = 7.85 0.1x1 + 7x2 - 0.3x3 = -19.3 0.3x1 - 0.2x2 + 10x3 = 71.4 | Xn 1 3 4
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