Results 91 to 100 of about 541 (198)

Numerical analysis of a simplest fractional-order hyperchaotic system

open access: yesTheoretical 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
doaj   +1 more source

Numeric Modified Adomian Decomposition Method for Power System Simulations

open access: yes, 2016
This paper investigates the applicability of numeric Wazwaz El Sayed modified Adomian Decomposition Method (WES-ADM) for time domain simulation of power systems. WES-ADM is a numerical method based on a modified Adomian decomposition (ADM) technique. WES-
Simunovic, Srdjan   +7 more
core   +1 more source

Modified Adomian Polynomial for Nonlinear Functional with Integer Exponent

open access: yes, 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.
openaire   +2 more sources

A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell–Whitehead–Segel equation

open access: yes, 2013
In this paper, we will carry out a comparative study between the reduced differential transform method and the Adomian decomposition method. This is been achieved by handling the Newell–Whitehead–Segel equation.
Magesh, N., Saravanan, A.
core   +1 more source

Solving Mathematical Model by Using Modified Fractional Differential Transform Method with Adomian polynomials

open access: yes
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 ...
A. D. Nagargoje   +2 more
core   +1 more source

Fractional One-Dimensional Transport Equation Within Spectral Method Combined With Modified Adomian Decomposition Method

open access: yes, 2009
In this paper the Chebyshev polynomials technique combined with the modified Adomian decomposition method were applied to solve analytically the fractional transport equation in one-dimensional plane geometry.
Dumitru Baleanu, Abdelouahab Kadem
core   +1 more source

Mathematical analysis of fractional-order convection–reaction–diffusion equations under the Caputo fractional derivative

open access: yesFrontiers in Physics
The main objective of this study is to employ two unique methods to approximately solve time-fractional convection–reaction–diffusion equations (CRDEs). The suggested techniques combine the Adomian decomposition approach, the homotopy perturbation method,
Mashael M. AlBaidani
doaj   +1 more source

Presentation of the efficient scheme for solving fractional order telegraph problems

open access: yesPartial Differential Equations in Applied Mathematics
The 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
doaj   +1 more source

Adomian decomposition method and its applications

open access: yes, 2004
ÖZET Yüksek Lisans Tezi ADOMIAN AYRIŞIM METODU VE UYGULAMALARI MEHMET HANİFİ GEYİK İnönü Üniversitesi Fen Bilimleri Enstitüsü Matematik Ana bilim Dalı 76+viii Sayfa Ağustos 2004 Tez Danışmam: Y. Doç. Dr.
Geyik, Mehmet, Hanifi
core  

Solving Nonlinear Partial Differential Equations By Using Adomian Decomposition Method, Modified Decomposition Method And Laplace Decomposition Method

open access: yesMANAS: 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  

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