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In Prob. 24.18, a linearized groundwater model was used to simulate the height of the

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition | ISBN: 9780073401102 | Authors: Steven C. Chapra Dr. ISBN: 9780073401102 336

Solution for problem 24.19 Chapter 24

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

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Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition | ISBN: 9780073401102 | Authors: Steven C. Chapra Dr.

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

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Problem 24.19

In Prob. 24.18, a linearized groundwater model was used to simulate the height of the water table for an unconfined aquifer. A more realistic result can be obtained by using the following nonlinear ODE: d dx K h dh dx + N = 0 where x = distance (m), K = hydraulic conductivity (m/d), h = height of the water table (m), and N = infiltration rate (m/d). Solve for the height of the water table for the same case as in Prob. 24.18. That is, solve from x = 0 to 1000 m with h(0) = 10 m, h(1000) = 5 m, K = 1 m/d, and N = 0.0001 m/d. Obtain your solution with (a) the shooting method and (b) the finite-difference method (x = 100 m).

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Chapter 24, Problem 24.19 is Solved
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Textbook: Applied Numerical Methods W/MATLAB: for Engineers & Scientists
Edition: 3
Author: Steven C. Chapra Dr.
ISBN: 9780073401102

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