Numerical Methods for Engineers
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 ρv/ε(0.7,0.7)=1 and ρv/ε(0.3,0.3)=1, and the step size of 0.1 along the horizontal and vertical dimensions.

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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
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