Results 51 to 60 of about 1,952 (181)

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

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  

On Distributions of Certain State Dependent Fractional Point Processes

, 2018
We obtain the explicit expressions for the state probabilities of various state dependent fractional point processes recently introduced and studied by Garra et al. (2015).
Kataria, K. K., Vellaisamy, P.
core   +1 more source

A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10970-10977, 30 July 2025.
ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
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

An algorithm for positive solution of boundary value problems of nonlinear fractional differential equations by Adomian decomposition method [PDF]

, 2016
In this paper, an algorithm based on a new modification, developed by Duan and Rach, for the Adomian decomposition method (ADM) is generalized to find positive solutions for boundary value problems involving nonlinear fractional ordinary differential ...
A. I., Md. Ismail, Hytham. A., Alkresheh
core  

Simple Parametrization Methods for Generating Adomian Polynomials

, 2016
In this paper, we discuss two simple parametrization methods for calculating Adomian polynomials for several nonlinear operators, which utilize the orthogonality of functions einx, where n is an integer.
Kataria, K. K., Vellaisamy, P.
core   +1 more source

Mixed Convection and Permeability Effects on Magnetohydrodynamic Williamson Fluid Flow Over an Inclined Stretchy Surface With Radiation Influence: Analytical Investigation

Engineering Reports, Volume 7, Issue 4, April 2025.
ABSTRACT The study introduces a computational method that combines Legendre polynomials with Gauss–Lobatto points to solve nonlinear coupled differential equations, focusing on the Williamson fluid model under the influence of mixed convection and permeability with mixed boundary conditions.
R. A. Oderinu, T. A. Oyeyinka, S. Alao, F. J. Ayanbukola, B. A. Sanusi   +4 more
wiley   +1 more source