Exam 9 Bonus Problem 2 (3 bonus points, CCOs #5 & 10) Consider a PDE for Y(x, t) with a boundary condition at the left boundary of the spatial domain 0 ≤ x ≤ L given by a²y ax2 (x 0,t) = cos(t). (2) If the spatial domain is discretized by a mesh of M equally sized intervals, give the discrete boundary condition at x₁ = 0 and t = t(n) that is at least second-order accurate in space, i.e., Y(n), Required submission: Handwritten or typeset solution including all solution steps; =
Exam 9 Bonus Problem 2 (3 bonus points, CCOs #5 & 10) Consider a PDE for Y(x, t) with a boundary condition at the left boundary of the spatial domain 0 ≤ x ≤ L given by a²y ax2 (x 0,t) = cos(t). (2) If the spatial domain is discretized by a mesh of M equally sized intervals, give the discrete boundary condition at x₁ = 0 and t = t(n) that is at least second-order accurate in space, i.e., Y(n), Required submission: Handwritten or typeset solution including all solution 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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![Exam 9 Bonus Problem 2 (3 bonus points, CCOs #5 & 10)
Consider a PDE for Y(x, t) with a boundary condition at the left boundary of the spatial domain 0 ≤ x ≤ L given by
a²y
ax2
(x 0,t) = cos(t).
(2)
If the spatial domain is discretized by a mesh of M equally sized intervals, give the discrete boundary condition at x₁ = 0 and
t = t(n) that is at least second-order accurate in space, i.e., Y(n),
Required submission:
Handwritten or typeset solution including all solution steps;
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27c0385d-5521-4276-95c3-f5add10125cc%2F53fb08ae-7b3c-46d0-9ecf-837e6badbc20%2F829odrk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exam 9 Bonus Problem 2 (3 bonus points, CCOs #5 & 10)
Consider a PDE for Y(x, t) with a boundary condition at the left boundary of the spatial domain 0 ≤ x ≤ L given by
a²y
ax2
(x 0,t) = cos(t).
(2)
If the spatial domain is discretized by a mesh of M equally sized intervals, give the discrete boundary condition at x₁ = 0 and
t = t(n) that is at least second-order accurate in space, i.e., Y(n),
Required submission:
Handwritten or typeset solution including all solution steps;
=
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