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 13, Problem 15P
Develop a program using a programming or macro language to implement Newton's method. The subroutine should have the following features:
• Iterate until the relative error falls below a stopping criterion or exceeds a maximum number of iterations.
• Returns both the optimal x and
Test your program with the same problem as Example 13.3.
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4. Determine which of the following flow fields represent a possible
incompressible flow?
(a) u= x²+2y+z; v=x-2y+z;w= -2xy + y² + 2z
a
(b) V=U cose
U coso 1 (9)
[1-9]
Usino |1 (4)]
[+]
V=-Usin 1+1
3. Determine the flow rate through the pipe line show in the figure in ft³/s,
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D
6"d
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A
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3
·y³j-
(a) Whether this is a one, two- or three-dimensional flow
(b) Whether it is a possible incompressible flow
(c) Determine the acceleration of a fluid particle at the location (X,Y,Z)=(1,2,3)
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Chapter 13 Solutions
Numerical Methods for Engineers
Ch. 13 - 13.1 Given the formula
(a) Determine the...Ch. 13 - 13.2 Given
(a) Plot the function.
(b) Use...Ch. 13 - Prob. 3PCh. 13 - Repeat Prob. 13.3, except use parabolic...Ch. 13 - 13.5 Repeat Prob. 13.3 but use Newton’s method....Ch. 13 - Employ the following methods to find the maximum...Ch. 13 - 13.7 Consider the following function:
Use...Ch. 13 - Employ the following methods to find the maximum...Ch. 13 - 13.9 Consider the following function:
Perform...Ch. 13 - Consider the following function:...
Ch. 13 - 13.11 Determine the minimum of the function from...Ch. 13 - Develop a program using a programming or macro...Ch. 13 - Develop a program as described in Prob. 13.12, but...Ch. 13 - 13.14 Develop a program using a programming or...Ch. 13 - 13.15 Develop a program using a programming or...Ch. 13 - Pressure measurements are taken at certain points...Ch. 13 - 13.17 The trajectory of a ball can be computed...Ch. 13 - 13.18 The deflection of a uniform beam subject to...Ch. 13 - An object with a mass of 100 kg is projected...Ch. 13 - The normal distribution is a bell-shaped curve...Ch. 13 - An object can be projected upward at a specified...Ch. 13 - Use the golden-section search to determine the...
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