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# In Prob. 24.18, a linearized groundwater model was used to simulate the height of the ISBN: 9780073401102 336

## Solution for problem 24.19 Chapter 24

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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AFTER MIDTERM 2 3RD last week 3D plotting Create matrices for X and Y like this: ​ [X,Y] = meshgrid(­10:.5:10); The variables are then available to use in equations: R = sqrt(X.^2+Y.^2); Z = sin(R)./R; The “n” in the syntax for contour are for how many lines...

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##### ISBN: 9780073401102

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

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