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categoryرياضيات schoolبكالوريوس event_available2026-07-14

السؤال

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5. (25 pts.) Describe briefly how you can solve the following system of equations by "Gauss-Seidel" iterative procedure. Then, add the successive over-relaxation (SOR) or under-relaxation (SUR) factor to the iterative procedure. Show at least two consecutive iteration steps required to solve the system of equations using the SUR method by assuming an initial guess of 1.0 for all unknown T's and use an under relaxation factor of 0.5. T₁ = 20 -Ti-1 + 4Ti-Ti+1 = 0 (for i=2,3,4) -T5 +4 T4-3 T2 = 0

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