EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 11, Problem 24P
Develop a user-friendly program in eith erahigh-levelor macro language of your choice to obtain a solution for a tridiagonal system with the Thomas algorithm (Fig. 11.2). Test your program by duplicating the results of Example 11.1.
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Please don't provide handwritten solution ......
Im finding it difficult to answer this question, can you help in finding a solution?:
a) Choose boundary conditions (b.c.) for the boundaries A-G from the types of b.c. typically implemented with an incompressible CFD solver. State what quantities those b.c. impose, and which they leave undefined. Justify your choice of boundary condition.
b) Discuss the most important errors your choice of b.c. may introduce and how those could be remedied.
c) While walking past your desk, your team-leader reminds you that the quantity of interest is the massflow in the lower channel, and proposes to use a slip-wall condition for B. Unfortunately she doesn’t explain her reasoning. For the next team meeting, prepare a discussion of the pros and cons of that suggestion, and explain whether or not you think this suggestion should be followed.
Chapter 11 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 11 - 11.1 Perform the same calculations as in (a)...Ch. 11 - Determine the matrix inverse for Example 11.1...Ch. 11 - 11.3 The following tridiagonal system must be...Ch. 11 - 11.4 Confirm the validity of the Cholesky...Ch. 11 - Perform the same calculations as in Example 11.2,...Ch. 11 - Perform a Cholesky decomposition of the following...Ch. 11 - Compute the Cholesky decomposition of...Ch. 11 - Use the Gauss-Seidel method to solve the...Ch. 11 - Recall from Prob. 10.8, that the following system...Ch. 11 - 11.10 Repeat Prob. 11.9, but use Jacobi...
Ch. 11 - 11.11 Use the Gauss-Seidel method to solve the...Ch. 11 - Use the Gauss-Seidel method (a) without relaxation...Ch. 11 - 11.13 Use the Gauss-Seidel method (a) without...Ch. 11 - Redraw Fig. 11.5 for the case where the slopes of...Ch. 11 - 11.15 Of the following three sets of linear...Ch. 11 - Use the software package of your choice to obtain...Ch. 11 - Given the pair of nonlinear simultaneous...Ch. 11 - An electronics company produces transistors,...Ch. 11 - Use MATLAB or Mathcad software to determine the...Ch. 11 - Repeat Prob. 11.19. but for the case of a...Ch. 11 - 11.21 Given a square matrix , write a single line...Ch. 11 - Write the following set of equations in matrix...Ch. 11 - In Sec. 9.2.1, we determined the number of...Ch. 11 - 11.24 Develop a user-friendly program in either a...Ch. 11 - 11.25 Develop a user-friendly program in either a...Ch. 11 - Develop a user-friendly program in either a...Ch. 11 - As described in Sec. PT3.1.2, linear algebraic...Ch. 11 - A pentadiagonal system with a bandwidth of five...
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