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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; =

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
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; =
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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