Approximate Analytical Solution
APPROXIMATE ANALYTICAL SOLUTION OF SEEPAGE OF GROUND WATER IN SOIL
... the approximate analytical solution of a quadratic Riccati differential equation of fractional order, which occur when we solve seepage of ground water in soil; this method is very useful to solve ...
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An approximate analytical solution of Richards equation with finite boundary
... an approximate analytical solution of the Richards equation (RE) for the horizontal infiltration ...The solution is suitable for arbitrary hydraulic diffusivity in water ...
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An Approximate Analytical Solution of Nonlinear Differential Equation Arising In 95 Fluid Flow through Homogeneous Porous Media
... an approximate analytical solution of one dimensional nonlinear partial differential equation (23) arising in oil-water displacement process (instability) in a homogeneous porous ...exact ...
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An approximate analytical solution of the fractional multi dimensional Burgers equation by the homotopy perturbation method
... 6 Application of HPM to the fractional multi-dimensional Burgers equations Here, the approximate analytical solution of fractional one-, two-, and three-dimensional Burgers equation is established by ...
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Approximate Analytical Solution to Nonlinear Buckling of Graphene Beam
... An exact approximate analytical solution to the problem of buckling of a beam made of Graphene under compressive axial load is obtained. The results showed agreement with other results obtained by ...
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Approximate Analytical Solution for Quadratic Riccati Differential Equation
... In this paper, we introduce an efficient method for solving the quadratic Riccati differential equation. In this technique, combination of Laplace trans- form and new homotopy perturbation methods (LTNHPM) are considered ...
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Computing Technology of a Method of Control Volume for Obtaining of the Approximate Analytical Solution to One Dimensional Convection Diffusion Problems
... Let’s consider the Equation (1) on segments [ W E , ] . For deriving of the ap- proached analytical solution of a problem by the method of control volume we take an arbitrary point x W E ∈ [ , ] and control ...
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Approximate analytical solution of the steady state concentration of mediator and current
... The Homotopy analysis method (HAM) is a powerful and easy-to-use analytic tool for nonlinear problems. The Homotopy analysis method contains the auxiliary parameter h , which provides us with a simple way to adjust and ...
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AN APPROXIMATE ANALYTICAL SOLUTION OF ONE-DIMENSIONAL GROUNDWATER RECHARGE BY SPREADING
... Abstract. The present paper discusses the problem of one dimensional groundwater recharge in the vertical direction. The groundwater is recharged by spreading of water in vertical direction and the moisture content of ...
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Homotopy perturbation and Elzaki transform for solving Sine-Gorden and Klein-Gorden equations
... soliton solution have been obtained in [16], using Hirotas method in [21], using Lambs method in [18], by B¨ acklund transformation and painlev´ e transcendents in ...numerical solution for the SG equation ...
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Equation Solution for the Current in Radial Impedance Monopole on the Perfectly Conducting Sphere
... The approximate analytical solution for the current in radial impedance monopole, located on the perfectly conducting sphere, has been obtained in this ...This solution has been obtained in ...
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Differential transform method for conformable fractional partial differential equations
... the approximate analytical solution of the time conformable fractional Burger’s equation via homotopy analysis ...series solution for a case of conformable fractional Riccati differential ...
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Vol 8, No 12 (2017)
... simply. Approximate analytical solution of Lorenz equation is obtained by Homotopy perturbation method ...between analytical and numerical result are ...
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Online Full Text
... The fuzzy partial differential equations (FPDEs) attracted a great deal of attention among scientists and engineers, because of its frequent involvement in the modeling of numerous industrialized applications, such as ...
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Airfoil gust interaction: historical survey (In, collected presentations from a workshop on the acoustics of fan gust interaction)
... Solution in the form of infinite series • Approximate analytical solution obtained by Filotas 1969 • Solutions reduce to 2D result for θ = π/2 • Mugridge 1971 derived an approximate muli[r] ...
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A mathematical modeling and simulation of non linear ordinary differential equations using HPM
... the approximate analytical solution of non linear ordinary differential equations system using Homotopy Perturbation Method ...These analytical solutions are representing a simple form of the ...
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A Solution of Boussinesq's equation for infiltration phenomenon in unsaturated porous media by Homotopy Analysis Method
... the approximate analytical solution of nonlinear partial differential equation for infiltration phenomenon, to examine the height of the free surface of the water mound in unsaturated homogeneous ...
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Parametric Study of Dynamic Wrinkling in a Thin Sheet on Elastic Foundation
... an approximate analytical study of the problem of dynamic wrinkling of a thin metal sheet under a specified time varying ...An approximate analytical analysis of the beam wrinkling behavior ...
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Dirichlet series and approximate analytical solutions of MHD flow over a linearly stretching sheet
... curate solution compared with earlier numerical ...series solution and an approxi- mate analytical method-method of stretching of ...other approximate methods (for example, Homotopy ...
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A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations
... merical solution of nonlinear Volterra-Fredholm integro-differential equations using Legendre ...the solution of non-linear system of Volterra-Fredholm integro-differential equation by using dis- crete ...
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