Results 51 to 60 of about 5,810 (155)

Flow of Elastoviscous Nanofluid Through an Elongating Surface With Dissipative Heat: A Confluent Hypergeometric Solution

Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 1, January/February 2026.
ABSTRACT Thermal energy transport likely through polymer extrusion, cooling of metallic plates, and chemical processing equipment relating to the flow of viscoelastic nanofluid has a greater role in engineering because of its elastic characteristics.
Rupa Baithalu, S. R. Mishra, Ram Prakash Sharma, Laxmipriya Swain   +3 more
wiley   +1 more source

Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator

Journal of Function Spaces, 2022
In this article, we investigate the fractional-order Fokker-Planck equations with the help of the Yang transform decomposition method (YTDM). The YTDM combines Yang transform, Adomian decomposition method, and Adomian polynomials into one method.
Saleh Alshammari, Naveed Iqbal, Mohammad Yar   +2 more
doaj   +1 more source

Penyelesaian Sistem Persamaan Integral Volterra dengan Metoda Dekomposisi Adomian [PDF]

, 2014
This article discusses the construction of the systems of Volterra integral equations from extended Lane-Emden equation. The system of Volterra integral equations of the settlement is determined by using the Adomian Decomposition Method.
Lily, E. (Endang), Natsir, M. (M), Zerlan, O. (Okmi)   +2 more
core  

The Novel Numerical Solutions for Time‐Fractional Fishers Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan, Hasan Bulut, Ercan Çelik, Zine El Abiddine Fellah   +3 more
wiley   +1 more source

Numerical Solution of Riccati Equations by the Adomian and Asymptotic Decomposition Methods over Extended Domains

International Journal of Differential Equations, 2015
We combine the Adomian decomposition method (ADM) and Adomian’s asymptotic decomposition method (AADM) for solving Riccati equations. We investigate the approximate global solution by matching the near-field approximation derived from the Adomian ...
Jafar Biazar, Mohsen Didgar
doaj   +1 more source

A note on time-fractional Navier–Stokes equation and multi-Laplace transform decomposition method

Advances in Difference Equations, 2020
In this study, the double Laplace Adomian decomposition method and the triple Laplace Adomian decomposition method are employed to solve one- and two-dimensional time-fractional Navier–Stokes problems, respectively.
Hassan Eltayeb, Imed Bachar, Yahya T. Abdalla   +2 more
doaj   +1 more source

Existence and Uniqueness of Nonlinear Volterra Integral Equations With Variable Fractional Order in Fréchet Spaces via a Frigon−Granas Fixed Point Approach

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper investigates the existence and uniqueness of solutions to nonlinear Volterra integral equations of variable fractional order in Fréchet spaces. The variable‐order fractional derivative is considered in the Riemann–Liouville sense, which extends classical approaches and is central to the paper’s novelty.
Mohamed Telli, Benoumran Telli, Mohammed Said Souid, K. Sudarmozhi, Joshua Kiddy K. Asamoah, Khalil Ezzinbi   +5 more
wiley   +1 more source

Developed Adomian method for quadratic Kaluza-Klein relativity

, 2009
We develop and modify the Adomian decomposition method (ADecM) to work for a new type of nonlinear matrix differential equations (MDE's) which arise in general relativity (GR) and possibly in other applications.
Adomian G, Azreg-Aïnou M, Azreg-Aïnou M, Azreg-Aïnou M, Azreg-Aïnou M, Azreg-Aïnou M, Campbell S L, Diţă P Grama N, Lancaster P, Linet B, Mustapha Azreg-Aïnou, Wild W   +11 more
core   +1 more source

Solution of Time‐Fractional Coupled Burgers Equations by the Yang Transform Adomian Decomposition Method

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, the Yang transform Adomian decomposition method (YTADM) is employed in the solution of nonlinear time‐fractional coupled Burgers equations. The technique solves the fractional and nonlinear terms successfully via the Adomian decomposition of the Yang transform.
Mustafa Ahmed Ali, Mehmet Merdan, Yeou Jiann Lim   +2 more
wiley   +1 more source

Numerical prediction of the energy efficiency of the three-dimensional fish school using the discretized Adomian decomposition method

Results in Physics, 2018
A three-dimensional modeling of fish school performed by a modified Adomian decomposition method (ADM) discretized by the finite difference method is proposed.
Yinwei Lin, Jing-Tang Yang, Ruimin Chen
doaj   +1 more source