Results 81 to 90 of about 541 (198)
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
On Semi-Analytical Solutions for Linearized Dispersive KdV Equations
Mathematics, 2020 The most well-known equations both in the theory of nonlinearity and dispersion, KdV equations, have received tremendous attention over the years and have been used as model equations for the advancement of the theory of solitons.
Appanah Rao Appadu, Abey Sherif Kelil
doaj +1 more source
On composite nonlinearities and the decomposition method
, 1986 Accurate, convergent, computable solutions using the decomposition method have been demonstrated in and papers for wide classes of nonlinear and/or stochastic differential, partial differential, or algebraic equations.
Rach, R, Adomian, G
core +1 more source
An analytic study of the fractional order model of HIV-1 virus and CD4+ T-cells using adomian method
, 2021 In this article, we study the fractional mathematical model of HIV-1 infection of CD4+ T-cells, by studying a system of fractional differential equations of first order with some initial conditions, we study the changing effect of many parameters.
Kamel Al-Khaled +3 more
core +1 more source
An Efficient Numerical Study of Measles Transmission Dynamics With Time Delay
Journal of Mathematics, Volume 2026, Issue 1, 2026.Measles is a highly contagious viral disease that remains a public‐health concern in populations with suboptimal vaccination coverage. In this study, a delayed SEIR‐type epidemic model is formulated to investigate measles transmission dynamics, where the latent period is incorporated through a discrete time delay.
Ali Raza +3 more
wiley +1 more source
, 2009 In this work, a new form of Adomian decomposition method (ADM) is presented; by this form a general iterative method can be achieved in which there is no need of calculating Adomian polynomials.
Biazar, J. +5 more
core +1 more source
NEW FORMULATION OF ADOMIAN POLYNOMIALS APPLIED TO HAMILTON-JACOBI EQUATIONS
, 2003 We give in this paper a new formulation of Adomian polynomials which intervene in the calculation of the terms of the Adomian series, in a case of nonlinear operator depending not only on the variable u, but also of its derivatives in space $\frac ...
Mampassi, Benjamin +3 more
core
Application of Homotopy Perturbation and Modified Adomian Decomposition Methods for Higher Order Boundary Value Problems [PDF]
, 2017 This work considers the numerical solution of higher order boundary value problems using Homotopy perturbation method (HPM) and modified Adomian decomposition method (MADM). HPM is applied without any transformation or calculation of Adomian polynomials.
Opanuga, A. A. +3 more
core
, 2023 In this work, a coupled system of time-fractional modified Burgers’ equations is considered. Three different fractional operators: Caputo, Caputo-Fabrizio and Atangana-Baleanu operators are implemented for the equations. Also, two different scenarios are
Zaman, Fiazud Din, Omame, Andrew
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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
openaire +1 more source