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Unsaturated Zone Hydrology by Gary L. Guymon - Professor of Civil Engineering, Department of Civil and Environmental Engineering, University of California, Irvine CA 92717

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Chapter 9Numerical Methods

Most modern problems of unsaturated flow and contaminant and heat transport require the application of numerical methods to solve the complete mathematical models developed in the preceding chapters. Numerical modeling implies coding the solution for computer application. Only in a few cases is it possible to analytically solve partial differential equation models. A few analytical solutions have been developed for linear problems, simple geometries usually restricted to one dimension, and simple boundary conditions. Where such solutions have been developed or are possible they are useful to test asymptotes or limits and provide convenient tests for numerical computer codes.

Because of advances in computer hardware ...

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