Results 81 to 90 of about 334 (167)

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.
openaire   +2 more sources

Exploring a Novel Multi-Stage Differential Transform Method Coupled with Adomian Polynomials for Solving Implicit Nonlinear ODEs with Analytical Solutions

Mathematics
In engineering, physics, and other fields, implicit ordinary differential equations are essential to simulate complex systems. However, because of their intrinsic nonlinearity and difficulty separating higher-order derivatives, implicit ordinary ...
Brahim Benhammouda, Hector Vazquez-Leal
doaj   +1 more source

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

Frontiers 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

Partial 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, Sajjad Ali, Nahid Fatima, Kamal Shah, Thabet Abdeljawad   +4 more
doaj   +1 more source

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

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, Hami Gündoğdu   +1 more
doaj  

Insights into time fractional dynamics in the Belousov-Zhabotinsky system through singular and non-singular kernels. [PDF]

Sci Rep, 2023
Alsallami SAM, Maneea M, Khalil EM, Abdel-Khalek S, Ali KK.   +4 more
europepmc   +1 more source

A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations

Advances in Mathematical Physics
Several 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, Adnan Khan, Hafiz Muhammad Anjum, Gregory Abe-I-Kpeng, Emad E. Mahmoud   +4 more
doaj   +1 more source

Application of He’s Variational Iteration Method for solving the Equation Governing the Unsteady Flow of a Polytropic Gas

Journal of Mathematical Extension, 2009
In this paper, He’s variational iteration method (VIM) is used to obtain the exact solution of the Equation Governing the Unsteady Flow of a Polytropic Gas.
M. Matinfar, S. JafarNodeh
doaj  

Solution of nonlinear higher-index Hessenberg DAEs by Adomian polynomials and differential transform method. [PDF]

Springerplus, 2015
Benhammouda B.
europepmc   +1 more source

A Piecewise Linear Approach for Implementing Fractional-Order Multi-Scroll Chaotic Systems on ARMs and FPGAs

Fractal and Fractional
This manuscript introduces a piecewise linear decomposition method devoted to a class of fractional-order dynamical systems composed of piecewise linear (PWL) functions.
Daniel Clemente-López, Jesus M. Munoz-Pacheco, Ernesto Zambrano-Serrano, Olga G. Félix Beltrán, Jose de Jesus Rangel-Magdaleno   +4 more
doaj   +1 more source