[PDF] Top 20 New groundwater flow equation with its exact solution

... A new model of groundwater owing within a conned aquifer was proposed using the concept of local derivative with fractional ...The new groundwater ow equation was solved analytically ... See full document

... while the functions representing the solutions of these equations would have only poles as movable singularities. Their work resulted in the discovery of 50 types of equations (recorded by Davis in [1, Appendix 1]) ... See full document

... Keywords : Nonlinear problem; Exat analyti solution; Numerial solution Jerey-Hamel ow.. ||||||||||||||||||||||||||||||||{.[r] ... See full document

... and groundwater recharge can be linked. The Richard’s equation which is a partial differential equation is used to evaluate the infiltration rate that penetrates the soil surface vertically (Smith ... See full document

... Huxley equation by using hyperbolic tangent method. New exact solutions of the generalized Burgers-Huxley equation are also obtained by Gao and Zhao ...Burgers-Huxley equation by using ... See full document

... tial equation, or at least to know many of the properties of this solution and that hard get it and process of getting a solution to the problem is not always easy, but that many of the differential ... See full document

... similar solution of shock –wave in gas particle ...a new exact solution of a problem of one dimensional adiabatic flow of a non planner and cylindrical strong shock wave propagating in ... See full document

... wave equation and telegraph equation. The telegraph equation was first introduced by kirchoff in ...telegraph equation has both wave motion and diffusion ...Telegraph equation describes ... See full document

... the exact analytical solutions of such problems are quite ...develop new techniques for obtaining analytical solutions which reasonably approximate the exact ...differential equation and ... See full document

... Mathematical problems can be solved analytically or numerically. However, analytic method scheme may be unsuccessful if the region of the problems is complex or the boundary conditions are time-dependent. In that case, ... See full document

...  V G ,  are functions of x t , and derivatives of . The equality (2) is assumed to be satisfied for any solution of the corresponding system of equations, is called conserved density and G is called conserved ... See full document

... a new numerical approximation technique based on the dierential transform method is introduced for the nonlinear cubic Dung equation with and without damping ...Since exact solutions to the ... See full document

... of groundwater flow has been discussed by many researchers with different aspects, like as Klute [10] reduced diffusion equation to an ordinary differential equation and applied a forward ... See full document

... of exact solutions to the Navier-Stokes equations belonging to the above type of ...of exact solutions characterizing the asymmetric and symmetric ...a new class and cannot be ob- tained as limiting ... See full document

... of flow and transport often require resolution of regional scale problems that may be impacted by local-scale ...governing equation, each with some degrees of ...governing equation at every point in ... See full document

... Dirac equation in 3 + 1 dimensions. The Dirac equation with scalar and vector HO potentials along with the tensor potential as a sum of linear and Coulomb-like potentials has been stud- ied ...a new ... See full document

... periodic solution for the flow of Newtonian fluid, in the presence of transverse magnetic field, bounded by two parallel ...fluctuating flow of Oldroyd type viscoelastic fluid past an infinite flat ... See full document

... finding new solutions from previous solutions of a given fractional differential equation (FDE) is ...an exact solution by using the symmetry operators of the ...give new solutions from ... See full document

... saturated groundwater flow is commonly modeled using Richards’ equation (RE) along with a set of constitutive relations describing the interde- pendence among fluid pressures, saturations, and ... See full document

... Nonlinear phenomena that appear in many areas of sci- entific fields such as solid state physics, plasma physics, fluid dynamics, mathematical biology and chemical ki- netics can be modeled by partial differential ... See full document