Results 71 to 80 of about 7,330 (206)

Application of numerical methods in micropolar fluid flow and heat transfer in permeable plates

Alexandria Engineering Journal, 2022
In this paper, Micropolar liquid flow between two flat plates has been studied in Maple computational software. The innovation of this paper is to study the heat transfer and fluid flow through two parallel plates with Adomian decomposition Method (ADM ...
Pooya Pasha, Saeid Mirzaei, Meysam Zarinfar   +2 more
doaj   +1 more source

Reduced Differential Transform Method for (2+1) Dimensional type of the Zakharov-Kuznetsov ZK(n,n) Equations

, 2014
In this paper, reduced differential transform method (RDTM) is employed to approximate the solutions of (2+1) dimensional type of the Zakharov-Kuznetsov partial differential equations. We apply these method to two examples.
Acan, Omer, Keskin, Yildiray
core   +1 more source

Adomian decomposition method for modelling the growthof FeB/Fe2B layer in boronizing process

Zaštita Materijala
The main objective of this paper is to explore the practical implementation of the Adomian decomposition method (ADM) in effectively solving the system of equations governing boron diffusion during the boronizing process.
B. Mebarek, Abdelkader Maatoug, Sid Ahmed Mokhtar Mostefaoui, Halim Benali, Y. El Guerri   +4 more
semanticscholar   +1 more source

Fractals and Chaotic Solitons Phenomena in Conformable Coupled Higgs System

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
The current study aims to construct and examine a new plethora of soliton solutions for the conformable coupled Higgs system (CCHS), a system of nonlinear fractional partial differential equations (NFPDEs) which was initially presented utilize a systematic structure to consider the responsive mechanism of the Higgs system in the electroweak theory ...
Naveed Iqbal, Wael W. Mohammed, Amjad E. Hamza, Shah Hussain, Yousef Jawarneh, Rasool Shah, Ahmed Ezzat Matouk   +6 more
wiley   +1 more source

An efficient and accurate modified Adomian decomposition method for solving the Helmholtz equation with high-wavenumber [PDF]

Surveys in Mathematics and its Applications
This paper presents a modified Adomian decomposition method (MADM) for solving the one and two-dimensional Helmholtz equation with large wavenumbers. The standard Adomian decomposition method (ADM) suffers from severe divergence issues as the wavenumber ...
Saleem Nasser Alomari , Yahya Qaid Hasan   +1 more
doaj  

Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells

Discrete Dynamics in Nature and Society, 2015
The classical Adomian decomposition method (ADM) is implemented to solve a model of HIV infection of CD4+T cells. The results indicate that the approximate solution by using the ADM is the same as that by using the Laplace ADM, but it can be obtained in ...
Fang Chen, Qing-Quan Liu
doaj   +1 more source

A comparison of the adomian and homotopy perturbation methods in solving the problem of squeezing flow between two circular plates

Mathematical Modelling and Analysis, 2010
The objective of this paper is to compare two methods employed for solving nonlinear problems, namely the Adomian Decomposition Method (ADM) and the Homotopy Perturbation Method (HPM).
Abdul M. Siddiqui, Tahira Haroon, Saira Bhatti, Ali R. Ansari   +3 more
doaj   +1 more source

Solving viscid Burgers equation by Adomian decomposition Method (ADM), Regular Pertubation Method (RPM) and Homotopy Perturbation Method (HPM)

International Journal of Applied Mathematical Research
In this paper the Adomian decomposition Method (ADM), Regular Pertubation Method (RPM) and the Homotopy Perturbation Method (HPM) are used to study Burgers equation. Then we compare the solutions obtained by these three methods.
Moussa BAGAYOGO, Youssouf MINOUNGOU, null NEBIE Abdoul Wassiha, Youssouf PARE   +3 more
openaire   +1 more source

Spectral Optimized Multiderivative Hybrid Block Method for Fitzhugh–Nagumo Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The Fitzhugh–Nagumo equation, a key model for excitable systems in biology and neuroscience, requires efficient numerical methods due to its nonlinear nature. A spectral optimized multiderivative hybrid block method is proposed, constructed using a multistep collocation and interpolation technique with an approximated power series as the basis function.
Uthman O. Rufai, Precious Sibanda, Sicelo P. Goqo, Salma A. A. Ahmedai, Adeyinka S. Adeyemo, Md. Kamrujjaman   +5 more
wiley   +1 more source

Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method [PDF]

, 2010
In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms.
I. Hashim,, M.S.H. Chowdhury,
core