Abstract
In this monograph, we have focused on numerical methods for solving the equations describing transport in the unsaturated zone of soil-water systems. The upper portion of the unsaturated zone is intensively used for the cultivation of food crops and in the past has been used as a disposal site for many types of industrial chemicals. In crop cultivation, this portion of the subsurface receives a large variety and quantity of synthetic organic and inorganic chemicals, all designed to increase crop yield. Many of the synthetic chemicals are added to prevent many types of undesirable plants, invertebrates, and microorganisms from interrupting the growth of desirable economic agricultural crops.
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References for Appendices
Ames WF (1977) Numerical methods for partial differential equations 2nd edn., Academic, New York
Bear J, Verruijt A (1987) Modeling groundwater flow and pollution, Reidel, Dordrecht, The Netherlands
Crank J (1975) The mathematics of diffusion 2nd edn, Oxford University Press, London
Galerkin BG (1915) Vestn. Ineh. Tekh., 19: 897 (in Russian)
Huyakorn SP, Pinder GF (1983) Computational methods in subsurface flow. Academic, New York
Lapidus L, Pinder GF (1982) Numerical solution of partial differential equations in science and engineering, John Wiley
Leistra M, Dekkers WA (1976) J. Soil Sci. 28: 340
Lindstrom FT Boersma L (1989) Wat. Res. Res. 25: 241
Lindstorm FT, Davies J (1989) Oscillations in finite difference-finite element approximations to convective-dispersive transport models in porous media. (Submitted to J. Math in Computa)
Peaceman DW, Rachford HH (1955) SIAM J. Appl. Math 3: 28
Pinder GF Gray WG (1977) Finite element simulation in surface and subsurface hydrology. Academic, New York
Prenter PM (1976) Splines and variational methods. John Wiley, New York
Richtmyer RD Morton KW (1967) Difference methods for initial value problems. John Wiley, New York
Thomas LH (1949) Elliptic problems in linear difference equations over a network, Watson Scientific Computational Laboratory Report, Columbia University, New York
Varga RS (1962). Matrix iterative analysis. Prentice-Hall, Englewood Cliff, NJ
Young DM, Gregory RJ (1973) A survey of numerical mathematics. Vol. II, Addison-Wesley, Reading, MA.
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© 1991 Springer-Verlag Berlin Heidelberg
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Piver, W.T., Lindstrom, F.T. (1991). Mathematical Models for Describing Transport in the Unsaturated Zone of Soils. In: Water Pollution. Water Pollution, vol 5 / 5A. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-46685-7_4
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DOI: https://doi.org/10.1007/978-3-540-46685-7_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-16108-1
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