An approximate analytical solution of the Allen-Cahn equation using homotopy perturbation method and homotopy analysis method. [PDF]
Heliyon, 2019 In this paper, an approximate analytical solution of the bistable Allen–Cahn equation is given. The Allen–Cahn equation is a mathematical model to study the phase separation process in binary alloys and emerged as a convection-diffusion equation in fluid
Hussain S, Shah A, Ayub S, Ullah A.
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An approximate analytical solution of the Bethe equation for charged particles in the radiotherapeutic energy range. [PDF]
Sci Rep, 2017 Charged particles such as protons and carbon ions are an increasingly important tool in radiotherapy. There are however unresolved physics issues impeding optimal implementation, including estimation of dose deposition in non-homogeneous tissue, an ...
Grimes DR, Warren DR, Partridge M.
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Analytical Approximate Solution of Chemical Kinetics Problems [PDF]
Computational Algorithms and Numerical Dimensions, 2022 In this article, the chemical kinetics problem is presented. The Differential Transformation Method (DTM) is presented to find an approximate analytical solution to the chemical kinetics problems.
Hatıra Günerhan
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Approximate analytical solution of the Graetz problem
Journal of Physics: Conference Series, 2021 The study on velocity and temperature distribution in fluid flows is important both for the theory and practical applications. The design of efficient heat-exchange equipment, the development of heat and thermomechanical modes of product treatment, the ...
A. Eremin
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New approximate analytical technique for the solution of time fractional fluid flow models
Advances in Difference Equations, 2021 In this note, we broaden the utilization of an efficient computational scheme called the approximate analytical method to obtain the solutions of fractional-order Navier–Stokes model.
Umar Farooq +5 more
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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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Revisiting the approximate analytical solution of fractional-order gas dynamics equation
Alexandria Engineering Journal, 2016 In this paper, an approximate analytical solution of the time fractional gas dynamics equation arising in the shock fronts, is obtained using a recent semi-analytical method referred as fractional reduced differential transform method.
Mohammad Tamsir, Vineet K. Srivastava
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On the Approximate Analytical Solution to Non-Linear Oscillation Systems
Shock and Vibration, 2013 This study describes an analytical method to study two well-known systems of nonlinear oscillators. One of these systems deals with the strongly nonlinear vibrations of an elastically restrained beam with a lumped mass.
Mahmoud Bayat, Iman Pakar
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Exact boundaries for the analytical approximate solution of a class of first-order nonlinear differential equations in the real domain [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 The paper gives a solution to one of the problems of the analytical approximate method for one class first order nonlinear differential equations with moving singular points in the real domain.
Viktor N. Orlov, Oleg A. Kovalchuk
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Approximate Analytical Solution for Turbulent Flow in Channel
Journal of Physics: Conference Series, 2023 In this work, the approximate analytical solutions of the Generalized Hydrodynamic Equations (GHE) for turbulent flow in channel is presented. The general solution is a superposition of the laminar (parabolic) and turbulent (superexponential) solutions ...
A. Fedoseyev
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