New class of solutions for water infiltration problems in unsaturated soils
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Davood Domiri Ganji | Amin Barari | Mehdi Omidvar | A. Barari | M. Omidvar | M. Momeni | D. Ganji | M. Momeni | D. D. Ganji
[1] Aydin Kurnaz,et al. n-Dimensional differential transformation method for solving PDEs , 2005, Int. J. Comput. Math..
[2] D. Rolston. Historical development of soil-water physics and solute transport in porous media , 2007 .
[3] Shen-Haw Ju,et al. Mass types, element orders and solution schemes for the Richards equation , 1997 .
[4] Dmitri Kavetski,et al. Noniterative time stepping schemes with adaptive truncation error control for the solution of Richards equation , 2002 .
[5] S. A. El-Wakil,et al. Exact travelling wave solutions for a diffusion–convection equation in two and three spatial dimensions , 2004 .
[6] K J Whiteman,et al. Linear and Nonlinear Waves , 1975 .
[7] Thomas P. Witelski,et al. Motion of wetting fronts moving into partially pre-wet soil , 2005 .
[8] Cha'o-Kuang Chen,et al. Solving partial differential equations by two-dimensional differential transform method , 1999, Appl. Math. Comput..
[9] I. H. Abdel-Halim Hassan,et al. Different applications for the differential transformation in the differential equations , 2002, Appl. Math. Comput..
[10] Ji-Huan He,et al. Homotopy perturbation method: a new nonlinear analytical technique , 2003, Appl. Math. Comput..
[11] Abdul-Majid Wazwaz,et al. Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations , 2005, Appl. Math. Comput..
[12] Fatma Ayaz,et al. Solutions of the system of differential equations by differential transform method , 2004, Appl. Math. Comput..
[13] M. Hoffmann. Macroscopic equations for flow in unsaturated porous media , 2003 .
[14] S. Sloan,et al. Adaptive backward Euler time stepping with truncation error control for numerical modelling of unsaturated fluid flow , 2002 .
[15] Matthew W. Farthing,et al. A spatially and temporally adaptive solution of Richards’ equation , 2006 .
[16] Thomas P. Witelski. Perturbation Analysis for Wetting Fronts in Richard's Equation , 1997 .
[17] Ming-Jyi Jang,et al. Two-dimensional differential transform for partial differential equations , 2001, Appl. Math. Comput..
[18] C. Rogers,et al. Exact solutions for vertical drainage and redistribution in soils , 1990 .
[19] Ji-Huan He,et al. New analytical methods for cleaning up the solution of nonlinear equations , 2009, Comput. Math. Appl..
[20] D. Ganji,et al. Application of He's Homotopy-perturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations , 2006 .
[21] L. A. Richards. Capillary conduction of liquids through porous mediums , 1931 .
[22] D Gangi,et al. APPLICATION OF HES HOMOTOPY-PERTURBATION METHOD TO NONLINEAR COUPLED SYSTEMS OF REACTION-DIFFUSION EQUATIONS , 2006 .
[23] P. J. Ross,et al. Modeling Soil Water and Solute Transport—Fast, Simplified Numerical Solutions , 2003 .
[24] R. G. Baca,et al. MIXED TRANSFORM FINITE ELEMENT METHOD FOR SOLVING THE NON‐LINEAR EQUATION FOR FLOW IN VARIABLY SATURATED POROUS MEDIA , 1997 .
[25] A. A. Soliman,et al. The modified extended tanh-function method for solving Burgers-type equations , 2006 .
[26] Fatma Ayaz,et al. On the two-dimensional differential transform method , 2003, Appl. Math. Comput..
[27] Fred J. Molz,et al. A physically based, two-dimensional, finite-difference algorithm for modeling variably saturated flow , 1994 .
[28] P. Milly,et al. A mass-conservative procedure for time-stepping in models of unsaturated flow , 1985 .
[29] Luca Bergamaschi,et al. MIXED FINITE ELEMENTS AND NEWTON-TYPE LINEARIZATIONS FOR THE SOLUTION OF RICHARDS' EQUATION , 1999 .
[30] Isabelle Braud,et al. Assessment of an efficient numerical solution of the 1D Richards' equation on bare soil , 2006 .
[31] Davood Domiri Ganji,et al. Application of Homotopy Perturbation Method and Variational Iteration Method to Nonlinear Oscillator Differential Equations , 2008 .
[32] H. Basha. Burgers' equation: A general nonlinear solution of infiltration and redistribution , 2002 .
[33] A. A. Soliman,et al. Modified extended tanh-function method and its application on nonlinear physical equations , 2006 .
[34] J. R. Philip. Fifty years progress in soil physics , 1974 .
[35] D. Ganji,et al. Solving Ratio-Dependent Predator-Prey System with Constant Effort Harvesting Using Homotopy Perturbation Method , 2008 .
[36] L. S. Pereira,et al. Two-dimensional infiltration under furrow irrigation: modelling, its validation and applications , 1995 .
[37] T. N. Narasimhan,et al. Buckingham, 1907: An Appreciation , 2005 .
[38] S. Yannopoulos,et al. Estimation of unsaturated flow in layered soils with the finite control volume method , 2001 .
[39] Ji-Huan He. Homotopy perturbation technique , 1999 .
[40] H. Basha. Multidimensional linearized nonsteady infiltration with prescribed boundary conditions at the soil surface , 1999 .
[41] A. Ali. The modified extended tanh-function method for solving coupled MKdV and coupled Hirota–Satsuma coupled KdV equations , 2007 .
[42] William E. Schiesser,et al. Linear and nonlinear waves , 2009, Scholarpedia.
[43] A. Barari,et al. Assessment of He`s Homotopy Perturbation Method in Burgers and Coupled Burgers` Equations , 2008 .
[44] R. H. Brooks,et al. Hydraulic properties of porous media , 1963 .
[45] D. Hagare,et al. Numerical modelling of tracer transport in unsaturated porous media , 2008 .
[46] Van Genuchten,et al. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .
[47] A. Corey. Mechanics of Immiscible Fluids in Porous Media , 1986 .
[48] Davood Domiri Ganji,et al. Variational Iteration Method and Homotopy-Perturbation Method for Solving Different Types of Wave Equations , 2008 .