Approximate analytical solution of the Boussinesq equation [PDF]
, 1999 A new approximate solution of the one-dimensional Boussinesq equation is presented for a semi-infinite aquifer when the hydraulic head at the source is an arbitrary function of time. Estimates for recharge, discharge, and elevation of the water table are
Lockington, D +11 more
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Approximate analytical solution of linear and nonlinear fractional delay differential equations using new variational iteration method [PDF]
, 2020 In this paper, an approximate analytical method, New Variational Iteration Method (NVIM) is introduced in this paper for the approximate analytical solution of Fractional Delay Differential Equations (FDDE).
Srivastava, Vineet, Vineet Srivastava
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Slowly rotating solution of quadratic gravity: An analytical approximation method
Nuclear Physics B, 2023 As we know, it is a nontrivial task to obtain analytical solutions for various gravitational theories. In this work, we obtain an analytical approximate rotating black hole solution for quadratic gravity (QG).
S.N. Sajadi, S.H. Hendi
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Approximate analytical solution of the Graetz problem
, 2019 Approximate analytical solution of the Graetz problem (1st ...
Anton Eremin (7482458)
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Approximate analytical solution of squeezing unsteady nanofluid flow [PDF]
, 2015 In this paper, the Duan-Rach Approach (DRA) was used to obtain an approximate analytical solution of squeezing unsteady nanofluid flow. An approximate analytical solution can be obtained for a velocity and a temperature profile.
haiahem, ammar
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Analytical solutions of cylindrical and spherical dust ion-acoustic solitary waves
Results in Physics, 2019 In the present work, employing the conventional reductive perturbation method to the field equations of an unmagnetized dusty plasma consisting of inertial ions, Boltzmann electrons and stationary dust particles in the nonplanar geometry we derived ...
Essam. R. El-Zahar, Hilmi Demiray
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An approximate analytical solution for dynamic heat transfer of building walls
Case Studies in Thermal Engineering, 2023 The present work deals with an approximate analytical solution for the dynamic temperature field due to the coupled effect of building walls to the adjacent environment.
C. Concilio, P. Di Luccia, G. Cuccurullo
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An approximate analytical solution of Richards equation with finite boundary
Boundary Value Problems, 2017 We apply a series expansion technique to estimate the water content distribution and front position in finite boundary conditions. We derive an approximate analytical solution of the Richards equation (RE) for the horizontal infiltration problem.
Xi Chen, Ying Dai
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The Consecutive Substitution Method for Boundary Value Problems (BVPs) with Retarded Argument
Journal of Applied Mathematics, 2023 In this study, we applied an approximate solution method for solving the boundary value problems (BVPs) with retarded argument. The method is the consecutive substitution method. The consecutive substitution method was applied and an approximate solution
Arzu Aykut, Ercan Çelik
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Results in Physics, 2023 In a current article, two novel analytical approaches are compared for analytical analysis of wave like equations with variable coefficients, which describe the evolution of stochastic phenomena.
Hijaz Ahmad +5 more
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