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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 12P
To determine
To graph: The electric potential of the unit square as a contour plot by solving the Poisson equation that defines the electric potential over the square, considering zero voltage at the boundaries, the value of point charge source as
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4.7 Use forward and backward difference approximations of O(h)
and a centered difference approximation of O(h²) to estimate the
first derivative of the function examined in Prob. 4.5. Evaluate the
derivative at x = 2 using a step size of h = 0.2. Compare your results
with the true value of the derivative. Interpret your results on the
basis of the remainder term of the Taylor series expansion.
but use the series for cosx
Work out 0.004 multiple by 0.32
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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