Results 91 to 100 of about 111,766 (161)

Nonlinear Integro-differential Equations by Differential Transform Method with Adomian Polynomials [PDF]

, 2013
: A modification of differential transformation method is applied to nonlinear integro-differential equations. In this technique, the nonlinear term is replaced by its Adomian polynomials for the index k, and hence the dependent variable components are ...
S. H. Behiry
core  

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

Analytical Solution and Numerical Simulation of the Two-Dimensional Time-Fractional Reaction-Diffusion Brusselator System

Wadi Alshatti University Journal of Pure and Applied Sciences
In this study, the Natural decomposition method is introduced to solve the two-dimensional nonlinear time-fractional reaction-diffusion Brusselator system. The fractional derivatives are described in the Caputo sense. The closed-form solution, as it is a
Fatma Ahmed, Muna Mansour, Mahmoud El-Horbaty   +2 more
doaj   +1 more source

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

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

Springerplus, 2015
Benhammouda B.
europepmc   +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  

On solving system of differential-algebraic equations using adomian decomposition method. [PDF]

F1000Res, 2023
Thota S, P S.
europepmc   +1 more source

Study of a Nonlinear System of Fractional Differential Equations with Deviated Arguments Via Adomian Decomposition Method. [PDF]

Int J Appl Comput Math, 2022
Afreen A, Raheem A.
europepmc   +1 more source

Caputo fractional-order SVIR model for rotavirus: Numerical solutions using Laplace-Adomian decomposition method. [PDF]

PLoS One
Hossain M, Ullah MA.
europepmc   +1 more source

A fractional-order analysis of recurrent Lassa fever transmission in Nigeria. [PDF]

Virus Res
Alaje AI, Adedeji JA, Olayiwola MO.
europepmc   +1 more source