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Large deflection of clamped circular plate and accuracy of its approximate analytical solutions
A different set of governing equations on the large deflection of plates are derived by the principle of virtual work (PVW), which also leads to a different set of boundary conditions.
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Analytical approximate solutions for local fractional wave equations
Mathematical methods in the applied sciences, 2019The analytical approximate solutions of the wave equation with local fractional derivative operators (LFDOs) are utilized in this manuscript. The reduced differential transform method (RDTM) and Laplace decomposition method (LDM) are investigated in the ...
H. Jassim
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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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Communications in Theoretical Physics, 2020
In this paper, we applied the sub-equation method to obtain a new exact solution set for the extended version of the time-fractional Kadomtsev-Petviashvili equation, namely Burgers-Kadomtsev-Petviashvili equation (Burgers-K-P) that arises in shallow ...
M. Şenol
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In this paper, we applied the sub-equation method to obtain a new exact solution set for the extended version of the time-fractional Kadomtsev-Petviashvili equation, namely Burgers-Kadomtsev-Petviashvili equation (Burgers-K-P) that arises in shallow ...
M. Şenol
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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 ...
Chen, Xi, Dai, Ying
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ANALYTICAL APPROXIMATE SOLUTIONS OF (N + 1)-DIMENSIONAL FRACTAL HARRY DYM EQUATIONS
Fractals, 2018The new fractal models of the [Formula: see text]-dimensional and [Formula: see text]-dimensional nonlinear local fractional Harry Dym equation (HDE) on Cantor sets are derived and the analytical approximate solutions of the above two new models are ...
Jian-Sheng Sun
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Exact and Approximate Analytical Solutions for Lightning-Induced Voltage Calculations
In this paper, we thoroughly review all analytical solutions (both exact and approximate) presented to date in the literature for evaluation of voltages induced on a lossless horizontal conductor, placed over an infinite-conductivity ground, and excited ...
Vladimir Rakov +2 more
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Kinematic flow approximation to runoff on a plane: An approximate analytic solution
Journal of Hydrology, 1983Abstract A new theory is given which relates excess rainfall to runoff for overland flow on a plane. The theory assumes that rate of change of water flux with distance down the plane is constant at any time, but its variation with time is such that runoff from the plane is exact. It follows that mass of water is conserved for the entire runoff event,
Rose, C. W. +4 more
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ANALYTICAL APPROXIMATION OF THE SOLUTION OF A GEODESIC PROBLEM
Mechanics of Solids, 2021The problem of analytical synthesis of functions approximating the dependence of the length of the geodetic line on the navigation parameters of its start and end points for the spheroid and the Earth sphere has been solved. The dependences approximating the length of the geodetic line are determined for both the reduced and geodetic latitudes ...
P. A. Kucherenko, S. V. Sokolov
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