Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 32, Problem 4P
Compute the steady-state distribution of concentration for the tank shown in Fig. P32.4. The PDE governing this system is
and the boundary conditions are as shown. Employ a value of 0.5 for D and 0.1 for k.
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3) Recall that the power set of a set A is the set of all subsets of A: PA = {S: SC A}.
Prove the following proposition.
АСВ РАСРВ
A sequence X = (xn) is said to be a contractive sequence if there is a constant 0 < C < 1 so
that
for all n = N.
-
|Xn+1 − xn| ≤ C|Xn — Xn−1|
-
3) Find the surface area of z
-1≤ y ≤1
=
1 + x + y + x2 over the rectangle −2 ≤ x ≤ 1 and
-
Solution: TYPE YOUR SOLUTION HERE! ALSO: Generate a plot of the surface
in Mathematica and include that plot in your solution!
Chapter 32 Solutions
Numerical Methods for Engineers
Ch. 32 - Perform the same computation as in Sec. 32.1, but...Ch. 32 - 32.2 Develop a finite-element solution for the...Ch. 32 - Compute mass fluxes for the steady-state solution...Ch. 32 - Compute the steady-state distribution of...Ch. 32 - Two plates are 10cmapart, as shownin Fig.P32.5....Ch. 32 - 32.6 The displacement of a uniform membrane...Ch. 32 - 32.7 Perform the same computation as in Sec....Ch. 32 - The flow through porous media can be described by...Ch. 32 - 32.9 The velocity of water flow through the...Ch. 32 - 32.10 Perform the same computation as in Sec....
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