On the Approximate Analytical Solution to Non-Linear Oscillation Systems
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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A parametric iteration method for solving Lane-Emden type equations [PDF]
In this paper, an analytical method called the parametric iteration method (PIM) is presented for solving the second-order singular IVPs of Lane-Emden type, and its local convergence is discussed.
Reza Chaharpashlou
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Approximate Analytical Solution for the Forced Korteweg-de Vries Equation
The forced Korteweg-de Vries (fKdV) equations are solved using Homotopy Analysis Method (HAM). HAM is an approximate analytical technique which provides a novel way to obtain series solutions of such nonlinear problems.
Vincent Daniel David +4 more
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Solar Neutrino Masses and Mixing from Bilinear R-Parity Broken Supersymmetry: Analytical versus Numerical Results [PDF]
We give an analytical calculation of solar neutrino masses and mixing at one-loop order within bilinear R-parity breaking supersymmetry, and compare our results to the exact numerical calculation.
A. Abada +79 more
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Revisiting the approximate analytical solution of fractional-order gas dynamics equation
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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A method of approximate green's function for solving reflection of particles in plane geometry [PDF]
A method for approximate analytical solution of transport equation for particles in plane geometry is developed by solving Fredholm integral equations. Kernels of these equations are the Green's functions for infinite media treated approximately.
Belić Čedomir I. +2 more
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In this work, two approaches are introduced to solve a linear damped nonlinear Schrödinger equation (NLSE) for modeling the dissipative rogue waves (DRWs) and dissipative breathers (DBs). The linear damped NLSE is considered a non-integrable differential
S. A. El-Tantawy +3 more
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Highly Accurate Analytical Approximate Solutions of the Electrostatically Actuated Parallel Plates
This paper is concerned with highly accurate analytical approximate solutions to dynamic oscillation of the parallel-plates model of an electrostatic micro-actuator.
W. J. Liu, X. Q. Zhao
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Remarks on the Solution of the Position Dependent Mass (PDM) Schr\"odinger Equation [PDF]
An approximate method is proposed to solve position dependent mass Schr\"odinger equation. The procedure suggested here leads to the solution of the PDM Schr\"odinger equation without transforming the potential function to the mass space or vice verse ...
Koc, Ramazan, Sayin, Seda
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An Analytical Approximate Solution for the Quasi-Steady State Michaelis-Menten Problem
This article utilizes perturbation method (PM) to find an analytical approximate solution for the Quasi-Steady-State Michaelis-Menten problem. From the comparison of Figures and absolute error values, between approximate and numerical solutions, it is ...
U. Filobello-Nino +7 more
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