Results 171 to 180 of about 1,391,702 (218)
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An Approximate Analytical Solution of Richards’ Equation
International Journal of Nonlinear Sciences and Numerical Simulation, 2015AbstractAn approximate analytical solution of Richards’ equation (RE) in a semi-finite layer of porous medium is obtained in this article. The basic idea is constructing a function between the Boltzmann variableϕand the traveling wave solution of RE, introducing the function into RE and calculating the relevant parameters by differential transform ...
Xi Chen, Ying Dai
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Approximate analytical solution of two‐dimensional space‐time fractional diffusion equation
Mathematical methods in the applied sciences, 2020This work presents an iterative scheme for the numerical solution of the space‐time fractional two‐dimensional advection–reaction–diffusion equation applying homotopy perturbation with Laplace transform using Caputo fractional‐order derivatives.
P. Pandey, Sachin Kumar, F. Gómez
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, 2020
Viruses have different mechanisms in causing a disease in an organism, which largely depend on the viral species. The recent advancement, through coupling data analysis and mathematical modeling, has allowed the identification and characterization of the
Parvaiz Ahmad Naik +2 more
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Viruses have different mechanisms in causing a disease in an organism, which largely depend on the viral species. The recent advancement, through coupling data analysis and mathematical modeling, has allowed the identification and characterization of the
Parvaiz Ahmad Naik +2 more
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Physica Scripta, 2020
In this paper, a combination of Laplace transform and variational iteration method are applied to get an approximate analytic solution for the multi-pantograph delay with higher order differential equations. Lagrange multiplier technique is constructed a
M. Bahgat
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In this paper, a combination of Laplace transform and variational iteration method are applied to get an approximate analytic solution for the multi-pantograph delay with higher order differential equations. Lagrange multiplier technique is constructed a
M. Bahgat
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, 2020
An analytical model is proposed in this study to describe transient drawdown induced by non-Darcian flow in a confined aquifer with a single well circulation groundwater heat pump system.
Kun Tu +7 more
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An analytical model is proposed in this study to describe transient drawdown induced by non-Darcian flow in a confined aquifer with a single well circulation groundwater heat pump system.
Kun Tu +7 more
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Approximate Analytical Solutions for Overland Flows
Water Resources Research, 1990Following the study of Govindaraju et al. (1988), approximate analytical solutions are presented to the diffusion and kinematic wave models subject to space and time‐varying rainfall. An approximation in the form of the first term of an infinite sine series has been considered. This converts the partial differential equation to an ordinary differential
R. S. Govindaraju +2 more
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Approximate analytical solution of nucleation problems
Materials Science and Engineering: A, 1993Abstract A Fokker-Planck-like equation describing the homogeneous nucleation process in one-component system is solved analytically by a novel method based on boundary layer theory combined with a Green function technique. Important characteristics of nucleation (nucleation rate, integrated flux, time lag) are determined. The accuracy of the approach
P Demo, Z Kožíšek
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Approximate Solutions of Analytic Inequality Systems
SIAM Journal on Optimization, 2000Summary: We consider the stability problem for a system of equalities and inequalities. We prove that when such a system is satisfied approximately at a certain point, it is also satisfied exactly on a nearby point.
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Analytical solution for the AN approximation
Progress in Nuclear Energy, 1997The aim of this work consists of the presentation of a new derivation and also an analytical solution for the one-dimensional AN approximation of the linear transport equation. Numerical simulations are reported.
Augusto V. Cardona, Marco T.M.B. Vilhena
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