Results 111 to 120 of about 498,085 (213)
, 2015 Abst ract: In this paper, we propose a new variation of the Adomian polynomials, which we call the degenerate Adomian polynomials, for the power series solutions of nonlinear ordinary differential equations with nonseparable nonlinearities.
Jun-sheng, Duan, Randolph, Rach
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, 2012 In this paper, we introduce a modified variational iteration method (MVIM) for solving Riccati differential equations. Also the fractional Riccati differential equation is solved by variational iteration method with considering Adomians polynomials for ...
H. Jafari, H. Tajadodi, D. Baleanu
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Absolute Value Boundedness, Operator Decomposition, and Stochastic Media and Equations [PDF]
The research accomplished during this period is reported. Published abstracts and technical reports are listed. Articles presented include: boundedness of absolute values of generalized Fourier coefficients, propagation in stochastic media, and ...
Adomian, G., Miao, C. C.
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Insights into time fractional dynamics in the Belousov-Zhabotinsky system through singular and non-singular kernels. [PDF]
Sci Rep, 2023 Alsallami SAM +4 more
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Presentation of the efficient scheme for solving fractional order telegraph problems
Partial Differential Equations in Applied MathematicsThe Asymptotic Homotopy Perturbation Transform Method AHPTM is presented in this work. It is combined version of the Asymptotic Homotopy Perturbation Method AHPM and Laplace transformation.
Wasim Sajjad Hussain +4 more
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An Efficient Maple Program for Calculating Adomian Polynomials
American Journal of Computational Mathematics, 2023 M. Al-Mazmumy
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MANAS: Journal of Engineering, 2017 In this paper, we consider mostly the inhomogeneous Fitzhugh-Nagumo-Huxley equation with its initial value. Adomian Decomposition Method (ADM), Modified Decomposition Method (MDM) and Laplace Decomposition Method (LDM) are applied to this equation to ...
Ömer Faruh Gözükızıl +1 more
doaj
Adomian Modification Methods via Orthogonal Polynomials: A Comparative Study
European Journal of Pure and Applied MathematicsThe present manuscript proposes different modification procedures for the standard Adomian Decomposition Method (ADM). These procedures are based on the application of orthogonal polynomials that play vital parts in approximation theories. Moreover, the study also scrutinizes four test nonlinear inhomogeneous initial-value problems, and distinctively ...
Mariam AL-Mazmumy +3 more
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Reduced Polynomials and Their Generation in Adomian Decomposition Methods
Computer Modeling in Engineering & Sciences, 2010 Adomian polynomials are constituted of reduced polynomials and derivatives of nonlinear operator. The reduced polynomials are independent of the form of the nonlinear operator. A recursive algorithm of the reduced polynomials is discovered and its symbolic implementation by the software Mathematica is given.
Jun-Sheng Duan, Ai-Ping Guo
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A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations
Advances in Mathematical PhysicsSeveral scientific areas utilize fractional nonlinear partial differential equations (PDEs) to model various phenomena, yet most of these equations lack exact solutions (Ex-Ss).
Muhammad Imran Liaqat +4 more
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