| Автор | Liu, Philip L.‐F. |
| Дата выпуска | 1976 |
| dc.description | Nonlinear diffusion problems with a constant boundary condition are investigated. The concept of diffusion front is utilized to develop a perturbation solution. Results are presented for two specific diffusivities which are functions of the concentrations. The present technique is shown to be efficient and accurate. |
| Формат | application.pdf |
| Копирайт | Copyright 1976 by the American Geophysical Union. |
| Тема | HYDROLOGY |
| Тема | Soil moisture |
| Тема | General or miscellaneous |
| Название | A perturbation solution for a nonlinear diffusion equation |
| Тип | article |
| DOI | 10.1029/WR012i006p01235 |
| Electronic ISSN | 1944-7973 |
| Print ISSN | 0043-1397 |
| Журнал | Water Resources Research |
| Том | 12 |
| Первая страница | 1235 |
| Последняя страница | 1240 |
| Выпуск | 6 |
| Библиографическая ссылка | Babu, D. K., Infiltration analysis and perturbation methods, 1, Absorption with exponential diffusivity, Water Resour. Res., 12, 89–93, 1976. |
| Библиографическая ссылка | Brutsaert, W., The adaptability of an exact solution to horizontal infiltration, Water Resour. Res., 4, 785–789, 1968. |
| Библиографическая ссылка | Brutsaert, W., More on an approximate solution for nonlinear diffusion, Water Resour. Res., 10, 1251–1252, 1974. |
| Библиографическая ссылка | Brutsaert, W., The concise parameterization of diffusion sorption of water in a dry soil, Water Resour. Res., 126,1976. |
| Библиографическая ссылка | Brutsaert, W., R. N.Weisman, Comparison of solutions of a nonlinear diffusion equation, Water Resour. Res., 6, 642–644, 1970. |
| Библиографическая ссылка | Cooper, L. Y., Constant temperature at the surface of an initially uniform temperature variable conductivity half space, J. Heat Transfer, 93, 55–60, 1971. |
| Библиографическая ссылка | Crank, J., The Mathematics of Diffusion, 347, Clarendon, Oxford, 1956. |
| Библиографическая ссылка | Heaslet, M. A., A.Alksne, Diffusion from a fixed surface with a concentration‐dependent coefficient, J. Soc. Ind. Appl. Math., 9, 584–596, 1961. |
| Библиографическая ссылка | Hildebrand, F. B., Advanced Calculus for Applications, Prentice‐Hall, Englewood Cliffs, N. J., 1963. |
| Библиографическая ссылка | Liu, P. L.‐F., Comment on ‘Infiltration analysis and perturbation methods, 1, Absorption with exponential diffusivity’ by D. K. Babu, Water Resour. Res., 126,1976. |
| Библиографическая ссылка | Parlange, J.‐Y., Theory of water‐movement in soils, 1, One‐dimensional absorption, Soil Sci., 111, 134–137, 1971. |
| Библиографическая ссылка | Philip, J. R., General method of exact solution of the concentration‐dependent diffusion equation, Aust. J. Phys., 13, 1–12, 1960. |
| Библиографическая ссылка | Philip, J. R., Theory of infiltration, Advan. Hydrosci., 5, 215–296, 1969. |
| Библиографическая ссылка | Philip, J. R., J. H.Knight, On solving the unsaturated flow equation, 3, New quasi‐analytical technique, Soil Sci., 117, 1–13, 1974. |
| Библиографическая ссылка | Pierson, W. J., Perturbation analysis of the Navier‐Stokes equations in Lagrangian form with selected linear solutions, J. Geophys. Res., 67, 3151–3160, 1962. |
| Библиографическая ссылка | Reichardt, K., D. R.Nielsen, J. W.Biggar, Scaling of horizontal infiltration into homogeneous soils, Soil. Sci., 36, 241–245, 1972. |
| Библиографическая ссылка | Schlichting, H., Boundary‐Layer Theory, McGraw‐Hill, New York, 1968. |
