ADVANCED MATH (You may use excel or write the solutions properly. Rate will be given.) x1 + 3x2 - x3 + 8x4 = 15 10x1 - x2 + 2x3 + x4 = 6 -x1 + 11x2 - x3 + 3x4 = 25 2x1 - x2 + 10x3 - x4 = -11 Assume that x10 = 0, x20 = 0, x30 = 0, x40 = 0. Round off to 4 decimals in each iteration. Using Successive Over Relaxation with w = 1.2, a. what are the approximate values of x1, x2, x3, x4 at the fifth iteration? x1 = ? x2 = ?
ADVANCED MATH (You may use excel or write the solutions properly. Rate will be given.) x1 + 3x2 - x3 + 8x4 = 15 10x1 - x2 + 2x3 + x4 = 6 -x1 + 11x2 - x3 + 3x4 = 25 2x1 - x2 + 10x3 - x4 = -11 Assume that x10 = 0, x20 = 0, x30 = 0, x40 = 0. Round off to 4 decimals in each iteration. Using Successive Over Relaxation with w = 1.2, a. what are the approximate values of x1, x2, x3, x4 at the fifth iteration? x1 = ? x2 = ?
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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ADVANCED MATH (You may use excel or write the solutions properly. Rate will be given.)
x1 + 3x2 - x3 + 8x4 = 15
10x1 - x2 + 2x3 + x4 = 6
-x1 + 11x2 - x3 + 3x4 = 25
2x1 - x2 + 10x3 - x4 = -11
Assume that x10 = 0, x20 = 0, x30 = 0, x40 = 0.
Round off to 4 decimals in each iteration.
Using Successive Over Relaxation with w = 1.2,
a. what are the approximate values of x1, x2, x3, x4 at the fifth iteration?
x1 = ?
x2 = ?
x3 = ?
x4 = ?
b. What is the absolute error at the 5th iteration?
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