Results 71 to 80 of about 334 (167)
Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation.
Lata Chanchlani +4 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.The objective of this research is to establish an effective methodology for addressing specific linear, nonlinear, singular n + 1‐dimensional fractional pseudo‐hyperbolic equations via the use of the multi‐Sumudu and generalized Laplace transforms combined with the decomposition method.
Hassan Eltayeb +2 more
wiley +1 more source
مجلة بغداد للعلومUsing the well-known least-squares weighted residual method (LSM) in coupling with various degrees of Touchard polynomials (TPs), found the numerical solutions of Volterra–Fredholm integro-differential equations (VFIDEs) and mixed Volterra–Fredholm ...
Hameeda O. Al-Humedi +1 more
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A convenient computational form for the Adomian polynomials
Journal of Mathematical Analysis and Applications, 1984 Recent important generalizations by \textit{G. Adomian} [Stochastic systems (1983; Zbl 0523.60056)] have extended the scope of his decomposition method for nonlinear stochastic operator equations (see also iterative method, inverse operator method, symmetrized method, or stochastic Green's function method) very considerably so that they are now ...
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Fractional modelling arising in unidirectional propagation of long waves in dispersive media
Advances in Nonlinear Analysis, 2016 The purpose of this paper is to propose a modified and simple algorithm for fractional modelling arising in unidirectional propagation of long wave in dispersive media by using the fractional homotopy analysis transform method (FHATM).
Kumar Sunil +2 more
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Journal of Nigerian Society of Physical SciencesThis study examines the combination of the Sadiq-Emad-Eman (SEE) integral transform and the Adomian decomposition method (ADM) for solving a nonlinear tumor growth model.
Ahmed Fadhil Noaman +2 more
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On Calculation of Adomian Polynomials by MATLAB
Journal of Applied Computer Science & Mathematics, 2011 Adomian Decomposition Method (ADM) is an elegant technique to handle an extensive class of linear or nonlinear differential and integral equations. However, in case of nonlinear equations, ADM demands a special representation of each nonlinear term, namely, Adomian polynomials.
Hossein ABOLGHASEMI, Hooman FATOOREHCHI
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Journal of Applied Mathematics, 2018 In this paper, we used Bernstein polynomials to modify the Adomian decomposition method which can be used to solve linear and nonlinear equations. This scheme is tested for four examples from ordinary and partial differential equations; furthermore, the ...
Ahmed Farooq Qasim, Ekhlass S. AL-Rawi
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Numerical analysis of a simplest fractional-order hyperchaotic system
Theoretical and Applied Mechanics Letters, 2019 In this paper, a simplest fractional-order hyperchaotic (SFOH) system is obtained when the fractional calculus is applied to the piecewise-linear hyperchaotic system, which possesses seven terms without any quadratic or higher-order polynomials.
Dong Peng +4 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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