Geodesic
A comparison of explicit and implicit numerical methods for solving groundwater flow problems
Numerical methods and programming, Tome 7 (2006) no. 2, pp. 185-189

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The following three tests of the DUMKA algorithm are presented in the paper: a comparison with the analytical solution of a model problem, a comparison of CPU-time cost with the VS2D program for a model of groundwater flow in a confined aquifer (the linear problem), and a comparison of CPU-time cost with the VS2D program for a nonlinear model of groundwater flow in an unconfined aquifer with consideration of an unsaturated zone (the nonlinear problem).
Mots-clés : filtration
Keywords: saturated/unsaturated zone, Van Genuchten equation, stiff differential equations, free-flow aquifer. 
@article{VMP_2006_7_2_a3,
     author = {I. A. Rastorguev},
     title = {A comparison of explicit and implicit numerical methods for solving groundwater flow problems},
     journal = {Numerical methods and programming},
     pages = {185--189},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2006_7_2_a3/}
}
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I. A. Rastorguev. A comparison of explicit and implicit numerical methods for solving groundwater flow problems. Numerical methods and programming, Tome 7 (2006) no. 2, pp. 185-189. http://geodesic.mathdoc.fr/item/VMP_2006_7_2_a3/