Results 21 to 30 of about 111,766 (161)
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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On polar Legendre polynomials [PDF]
, 2010 10 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25.-- ArXiv pre-print available at: http://arxiv.org/abs/0709.4537Accepted in Rocky Mountain Journal of Mathematics.We introduce a new class of polynomials {Pn}, that we call polar ...
Urbina, Wilfredo +6 more
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Comparative study of Adomian decomposition method and Clique polynomial method
Partial Differential Equations in Applied Mathematics, 2022 This paper generated the novel approach called the Clique polynomial method (CPM) using the Clique polynomials raised in graph theory. Nonlinear initial value problems are converted into nonlinear algebraic equations by discretization with suitable grid ...
Kumbinarasaiah S, Mallanagoud Mulimani
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A New Algorithm to determine Adomian Polynomials for nonlinear polynomial functions [PDF]
, 2023 We present a new algorithm by which the Adomian polynomials can be determined for scalar-valued nonlinear polynomial functional in a Hilbert space.
Bairagi, Mithun
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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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Using a hybrid technique for the analytical solution of a coupled system of two-dimensional BurgerŠs equations [PDF]
Results in Nonlinear Analysis, 2018 Our aim in this paper is to investigate the analytical solutions of two dimensional non- linear system of Burger’s equations. We present two problems for the efficiency of the proposed hybrid techniques form by coupling Laplace transform with Adomian ...
Atta Ullah, Kamal Shah
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Abstract and Applied Analysis, 2014 We develop a method to obtain approximate solutions for nonlinear systems of Volterra integrodifferential equations with the help of Sumudu decomposition method (SDM).
Hassan Eltayeb +2 more
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Mathematics, 2019 This work deals with a new modified version of the Adomian-Rach decomposition method (MDM). The MDM is based on combining a series solution and decomposition method for solving nonlinear differential equations with Adomian polynomials for nonlinearities.
Emad A. Az-Zo’bi +2 more
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Efficient Method for Solving System of Nonlinear PDEs
Muthanna Journal of Pure Science, 2021 This paper presents an analysis solution for systems of nonlinear partial differential equations using decomposition method. Two illustrated examples has been introduced, and the method has shown a high-precision, fast approach to solve nonlinear system
Z. H. Kareem
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Resolution of nonlinear and non-autonomous ODEs by the ADM using a new practical Adomian polynomials
Bulletin of Computational Applied Mathematics, 2020 In this paper, a new practical formulas of Adomian polynomials has been adapted to resolve nonlinear and non-autonomous ordinary differential equations by the Adomian decomposition method, a simple computational for this new polynomials has been ...
Idriss Noureddine Zaouagui +1 more
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