A Linearized Finite Difference Scheme for the Richards Equation Under Variable-Flux Boundary Conditions
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[1] Georgios Akrivis,et al. Finite difference discretization of the Kuramoto-Sivashinsky equation , 1992 .
[2] C. P. K. M.Ish. A NUMERICAL SIMULATION MODEL FOR ONE-DIMENSIONAL INFILTRATION , 1998 .
[3] Dmitri Kavetski,et al. Adaptive time stepping and error control in a mass conservative numerical solution of the mixed form of Richards equation | NOVA. The University of Newcastle's Digital Repository , 2001 .
[4] P. Knabner. Finite Element Simulation of Saturated-Unsaturated Flow Through Porous Media , 1987 .
[5] Linda M. Abriola,et al. Mass conservative numerical solutions of the head‐based Richards equation , 1994 .
[6] Luciano Lopez. A Method for the Numerical Solution of a Class of Nonlinear Diffusion Equations , 1991 .
[7] Peter Knabner,et al. Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation , 2004, SIAM J. Numer. Anal..
[8] R. G. Baca,et al. MIXED TRANSFORM FINITE ELEMENT METHOD FOR SOLVING THE NON‐LINEAR EQUATION FOR FLOW IN VARIABLY SATURATED POROUS MEDIA , 1997 .
[9] Michel Vauclin,et al. A note on estimating finite difference interblock hydraulic conductivity values for transient unsaturated flow problems , 1979 .
[10] F. Radu,et al. A study on iterative methods for solving Richards’ equation , 2015, Computational Geosciences.
[11] P. Broadbridge,et al. Exact Solutions of the Richards Equation With Nonlinear Plant‐Root Extraction , 2017 .
[12] Fred J. Molz,et al. A physically based, two-dimensional, finite-difference algorithm for modeling variably saturated flow , 1994 .
[13] M. Celia,et al. A General Mass-Conservative Numerical Solution for the Unsaturated Flow Equation , 1990 .
[14] Randel Haverkamp,et al. A Comparison of Numerical Simulation Models For One-Dimensional Infiltration1 , 1977 .
[15] P. Broadbridge,et al. Closed-form solutions for unsaturated flow under variable flux boundary conditions , 1996 .
[16] Yibao Li,et al. A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation , 2016, Comput. Phys. Commun..
[17] Michele Vurro,et al. The numerical solution of Richards' equation by means of method of lines and ensemble Kalman filter , 2016, Math. Comput. Simul..
[18] Giuseppe Vacca,et al. Spectral properties and conservation laws in Mimetic Finite Difference methods for PDEs , 2016, J. Comput. Appl. Math..
[19] Cass T. Miller,et al. An evaluation of temporally adaptive transformation approaches for solving Richards' equation , 1999 .
[20] Qualitative mathematical analysis of the Richards equation , 1991 .
[21] Cheng Wang,et al. Analysis of a fourth order finite difference method for the incompressible Boussinesq equations , 2004, Numerische Mathematik.
[22] Luca Bergamaschi,et al. MIXED FINITE ELEMENTS AND NEWTON-TYPE LINEARIZATIONS FOR THE SOLUTION OF RICHARDS' EQUATION , 1999 .
[23] A. W. Warrick,et al. Numerical approximations of darcian flow through unsaturated soil , 1991 .
[24] P. Broadbridge,et al. Infiltration from supply at constant water content: an integrable model , 2009 .
[25] Taohua Liu,et al. A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations , 2019, Numerical Mathematics: Theory, Methods and Applications.
[26] Bruno Brunone,et al. Numerical analysis of one-dimensional unsaturated flow in layered soils , 1998 .
[27] Siyang Wang,et al. Fourth Order Finite Difference Methods for the Wave Equation with Mesh Refinement Interfaces , 2018, SIAM J. Sci. Comput..
[28] R. Helmig,et al. Comparison of conductivity averaging methods for one-dimensional unsaturated flow in layered soils , 2011 .
[29] Shusen Xie,et al. Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations , 2011 .
[30] Robert Eymard,et al. The finite volume method for Richards equation , 1999 .
[31] Wenqiang Feng,et al. An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation , 2017, J. Comput. Appl. Math..