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MA 584  Finite Diff Pde  N.C. State Study Resources

Hw4
School: N.C. State
Course: Finite Diff Pde
Fall 2008 A. Chertock MA 584  Homework #4 due on November 11, 2008 1. Verify the consistency and stability conditions of the scheme, Ujn+1 Ujn =2 t h for the heat equation ut = uxx . 2 l l Here xx Ujl = Uj+1 2Ujl + Uj1 , l = n, n + 1. 2 n+1 h

Homework B Solutions On Finite Difference Methods
School: N.C. State
Course: Finite Difference Methods
SELECTED SOLUTION TO HW #2 AND MIDTERM I Problem 1. u(4) (x) u(3) (x) 1 u(x 2h) 4u(x h) + 6u(x) 4u(x + h) + u(x + 2h) h4 1 6u(x) + 3u(x + h) 3u(x + 2h) + u(x + 3h) h3 Problem 2. We can set u(x1 ), u(x1 ), , u(xn ) as unknowns. Once we know u(xn ), then

Notes1
School: N.C. State
Course: Finite Diff Pde
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