Results 101 to 110 of about 498,085 (213)
Chaos analysis of the nonlinear duffing oscillators based on the new Adomian polynomials
, 2016 Numerical recurrence formulae are given to investigate the chaotic motion of the famous Duffing system. The new Adomian polynomial is adopted to treat the cubic nonlinear term.
L. Huang +3 more
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The system of nonlinear fractional partial differential equations (SNFPDEs) are widely used in modeling various phenomena in applied sciences. Consequently, finding the solutions to SNFPDEs has become paramount. Recently, an analytic method known as the Semiseparation of Variables Method (S‐SVM) has been applied to obtain the exact solution of the ...
Henry Kwasi Asiedu +4 more
wiley +1 more source
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
doaj +1 more source
Modified Adomian Polynomial for Nonlinear Functional with Integer Exponent
, 2020 Successful application of Adomian decomposition method (ADM) in solving problems in nonlinear ordinary and partial differential equations depend strictly on the Adomian polynomial. In this paper, we present a simple modified known Adomian polynomial for nonlinear polynomial functionals with index as integers.
Agom, E. U., Ogunfiditimi, F. O.
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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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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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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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, 2016 In this paper, the fractional order of rational Bessel functions collocation method (FRBC) to solve Thomas-Fermi equation which is defined in the semi-infinite domain and has singularity at $x = 0$ and its boundary condition occurs at infinity, have been
Delkhosh, M. +3 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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, 2017 In this paper, we use Kansa method for solving the system of differential equations in the area of biology. One of the challenges in Kansa method is picking out an optimum value for Shape parameter in Radial Basis Function to achieve the best result of ...
Fallah, Mohammad Kazem +2 more
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