= 0 4. Solve by hand the problem ut = Uxx in the interval [0, 1] with ux at both ends. Use the forward scheme (2) for the PDE, and the scheme (14) for the boundary conditions. Assume Ax = 3, At = 100, and start with the initial data: 0 0 64 0 0 0. Compute for four time steps.
= 0 4. Solve by hand the problem ut = Uxx in the interval [0, 1] with ux at both ends. Use the forward scheme (2) for the PDE, and the scheme (14) for the boundary conditions. Assume Ax = 3, At = 100, and start with the initial data: 0 0 64 0 0 0. Compute for four time steps.
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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![4. Solve by hand the problem ut = Uxx in the interval [0, 1] with ux = 0
at both ends. Use the forward scheme (2) for the PDE, and the scheme
(14) for the boundary conditions. Assume Ax = 3, At = 100, and start
with the initial data: 0 0 64 0 0 0. Compute for four time steps.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9238508b-bfdb-4285-846b-ab029e0d2e03%2F8567c2a5-29c5-45d8-94a7-287ece4e9ecb%2Fkc3mjlb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Solve by hand the problem ut = Uxx in the interval [0, 1] with ux = 0
at both ends. Use the forward scheme (2) for the PDE, and the scheme
(14) for the boundary conditions. Assume Ax = 3, At = 100, and start
with the initial data: 0 0 64 0 0 0. Compute for four time steps.
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