Results 31 to 40 of about 498,085 (213)
A Comparison between Adomian’s Polynomials and He’s Polynomials for Nonlinear Functional Equations [PDF]
Mathematical Problems in Engineering, 2013 We will compare the standard Adomian decomposition method and the homotopy perturbation method applied to obtain the solution of nonlinear functional equations. We prove analytically that the two methods are equivalent for solving nonlinear functional equations. In Ghorbani (2009), Ghorbani presented a new definition which he called as He’s polynomials.
Hossein Jafari +2 more
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A New Numerical Technique for Index-3 DAEs Arising from Constrained Multibody Mechanical Systems
Discrete Dynamics in Nature and Society, 2022 Index-3 differential-algebraic equations (DAEs) are mathematical models for the dynamics of constrained multibody mechanical systems that arise in many applications. These DAEs are known to pose a challenge to numerical methods. The purpose of this paper
Brahim Benhammouda
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Admonian's method for Hammerstein integral equations arising from chemical reactor theory [PDF]
, 2001 An ordinary differential equation with a parameter in the boundary conditions describes the steady state in an adiabatic tubular chemical reactor. In this paper, the problem is considered as a Hammerstein integral equation and solutions are obtained ...
Madbouly, N.M. +2 more
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Modified variational iteration method for analytical solutions of nonlinear oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2019 The second-order nonlinear oscillators have rich dynamics. We proposed a novel analytical method based on both variational iteration method and Adomian method. The variational iteration method is used to establish an equivalent integral system.
Wei He, Hua Kong, Yan-Mei Qin
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Non-Perturbative Solution for Hydromagnetic Flow Over a Linearly Stretching Sheet
International Journal of Applied Mechanics and Engineering, 2013 In this paper, the Adomian decomposition method with Padé approximants are integrated to study the boundary layer flow of a conducting fluid past a linearly stretching sheet under the action of a transversely imposed magnetic field.
O.D. Makinde +2 more
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A simple algorithm for calculating Adomian polynomials [PDF]
International Journal of Contemporary Mathematical Sciences, 2007 In this paper, we introduce a new Algorithm for calculating Adomian polynomials and present some example to show the simplicity of the new Algorithm. The new Algorithm requires less computations in comparison with the previous methods, and can be extended to calculate Adomian polynomials for nonlinear functional with several variables.
J. Biazar, S. M. Shafiof
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, 2021 In this work, we adapted another time the Adomian decomposition method for solving nonlinear and non-autonomous ODEs systems. Therefore, our expressions of the Adomian polynomials are determined for a several-variable differential operators. The solution
Z. In, T Badredine
semanticscholar +1 more source
Results in Physics, 2020 A numerical inverse Laplace transform method is established using Bernoulli polynomials operational matrix of integration. The efficiency of the method is demonstrated through some standard nonlinear differential equations: Duffing equation, Van der Pol ...
Dimple Rani, Vinod Mishra
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Proyecciones (Antofagasta)The problem of the transmission of a disease in a population believed to have stablesize during the epidemic is addressed in this article. The fractional differential transformtechnique (FDTM) with Adomian polynomials is used to approximate the solution ...
R. Teppawar +2 more
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