[PDF] Top 20 A Solution of Boussinesq's equation for infiltration phenomenon in unsaturated porous media by Homotopy Analysis Method

... The unsaturated zone is distinctly involved in many aspect of hydrology, infiltration, evaporation, groundwater recharge, soil moisture storage and soil ...The infiltration process is one of a far ... See full document

... numerical solution of boussinesq’s equation arising in one- dimensional infiltration phenomenon by using finite difference ...a solution of boussinesq’s equation for ... See full document

... the unsaturated porous media has significantly increasingly and it has a great important for hydrologist, agriculturists and people related with water resources ...important phenomenon in ... See full document

... a porous medium with a non-uniform permeability K 1 ...the porous medium. The governing equation of the problem is based on Darcy’s ...the porous medium [17] ...a media with high ... See full document

... (1970) method to get graphical illustration of the mathematical solution for horizontal water ...approximate solution considering average diffusivity coefficient of the whole range of moisture ... See full document

... important phenomenon Instability (fingering) occurs due to the injecting force, difference of viscosity and wettability of the water and oil gives rise to the protuberances (instability) at common ...the ... See full document

... A new integral transform is derived from the classical Fourier integral. A new integral transform [8] was in- troduced by Artion Kashuri and Akli Fundo to facilitate the process of solving ordinary and partial ... See full document

... . (26) Hence, Eqs. (21) and (25) are Boussinesq models for grav- ity waves in three-layer porous media. It is interesting to note that the flux and surface displacement equations are only weakly ... See full document

... Fuzzy differential equations (FDEs) form a major portion of a fuzzy analysis theory and are a useful tool to describe a dynamic phenomenon if its nature and data is vague (Ali et. al., 2018). The recurrent ... See full document

... the solution. In this paper, we used the homotopy perturbation method (HPM) to find a very simple and accurate solution for ...the method presented in this paper, it would help to ... See full document

... DOI: 10.4236/am.2017.811113 1555 Applied Mathematics It should be noted that by increasing t , u x t ( ) , will be decreased slightly, as it is shown in Figure 4(a) and Figure 4(c). It is mainly due to the fact that this ... See full document

... Keywords : Fokker-Plank equation; Modied Adomian deomposition method; Variational itera-.. tion method; Homotopy analysis method.[r] ... See full document

... The HAM contains a certain auxiliary parameter which provides us with a simple way to adjust and con- trol the convergence region and rate of convergence of the series solution. Moreover, by means of the so-called ... See full document

... solitary-wave solution to ...this solution cannot be found directly by the ...solitary-wave solution is an smooth-hump wave for U as a function of ... See full document

... Differentiating equation (2) 𝑚 times with respect to 𝑞 and then setting 𝑞 = 0 and finally dividing them by 𝑚! we have the so-called 𝑚 𝑡ℎ order deformation equation 𝐿[𝑢 𝑚 (𝑥, 𝑡) − 𝑘 𝑚 𝑢 𝑚−1 (𝑥, 𝑡)] = ℎ𝐻(𝑥, ... See full document

... the solution of radial diffusivity equation to well testing analysis done in oil and gas industry cannot be ...diffusivity equation, of which the Van Everdingen-Hurst constant terminal rate ... See full document

... the solution of gas dynamic equation by using Modified Aboodh Homotopy Pertubation ...the solution of the nonlinear gas dynamic equation is obtained by using the mixture of Modified ... See full document

... In this paper, the inverse problem of determining an unknown control parameter in a semilinear parabolic equation under an integral overde- termination condition is considered. By using the WHAM, an algorithm for ... See full document

... analytical method, called homotopy perturbation method HPM, is used to compute an approximation to the solution of the nonlinear differential equation governing the problem of ... See full document

... imbibition phenomenon in double phase flow through cracked porous ...differential equation governing the phenomenon in a cracked porous medium with magnetic ...mathematical ... See full document