Answered: use an explicit scheme to solve the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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use an explicit scheme to solve the equation (using concentration C(x,t)). the flow velocity is constant, namely U = 0.5 m/s; channel length 1000 m. Use Δx = 100 m; Δt = 100 seconds. at t=0, the channel's extended concentration is zero (C(x,0) = 0). The boundary conditions at all times at the upstream and downstream ends of the channel are 2 and 0 respectively. The count is carried out until time 5.

C
at
Cunak.
DC
at
+U
ac
2x
+ U
dr²
untuk koefisien difusi K=0, persamaan di atas menjadi:
persamaan yang diselesaikan
=
ac
dx
K
a²c
2
= 0

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