Exam 9 Bonus Problem 1 (3 bonus points, CCO #9) Solve the PDE Iv .მო cos(y). +e მე მყ 0 analytically using the method of separation of variables. 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 right boundary of the spatial domain 0 < x < L given by a²Y (x = 0,t) = cos(t). მx2 (1) (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 = (n) that is at least second-order accurate in space, i.e., Y(n) Required submission: Handwritten or typeset solution including all solution steps; =...

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.6P
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Exam 9 Bonus Problem 1 (3 bonus points, CCO #9)
Solve the PDE
Iv
.მო
cos(y).
+e
მე მყ
0
analytically using the method of separation of variables.
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 right boundary of the spatial domain 0 < x < L given by
a²Y
(x = 0,t) =
cos(t).
მx2
(1)
(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 = (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 1 (3 bonus points, CCO #9) Solve the PDE Iv .მო cos(y). +e მე მყ 0 analytically using the method of separation of variables. 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 right boundary of the spatial domain 0 < x < L given by a²Y (x = 0,t) = cos(t). მx2 (1) (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 = (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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