Results 71 to 80 of about 445 (153)

A Comparative Approach to the Solution of the Zabolotskaya-Khokhlov Equation by Iteration Methods

Advances in Mathematical Physics, 2016
We employed different iteration methods like Homotopy Analysis Method (HAM), Adomian Decomposition Method (ADM), and Variational Iteration Method (VIM) to find the approximate solution to the Zabolotskaya-Khokhlov (ZK) equation.
Saeed Ahmed, Muhammad Kalim
doaj   +1 more source

Optimal Adomian Decomposition Method for Solving Nonlinear Ordinary Differential Equations in Sciences and Engineering

Ibn Al-Haitham Journal for Pure and Applied Sciences
This paper shows new approximate ways to solve nonlinear ordinary differential equations using two methods that repeat steps: the Adomian decomposition method (ADM) and the optimal Adomian decomposition method (OADM).
Fatimah A. Al-Zubaidi, Majeed A. Al-Jawary   +1 more
doaj   +1 more source

Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt

Advances in Mathematical Physics, 2015
We have investigated a thin film flow of a third grade fluid on a moving belt using a powerful and relatively new approximate analytical technique known as optimal homotopy asymptotic method (OHAM).
Fazle Mabood, Nopparat Pochai
doaj   +1 more source

Non-Perturbative Solution for Hydromagnetic Flow Over a Linearly Stretching Sheet

International Journal of Applied Mechanics and Engineering, 2013
In this paper, the Adomian decomposition method with Padé approximants are integrated to study the boundary layer flow of a conducting fluid past a linearly stretching sheet under the action of a transversely imposed magnetic field.
O.D. Makinde, U.S. Mahabaleswar, N. Maheshkumar   +2 more
doaj   +1 more source

The Combined RKM and ADM for Solving Nonlinear Weakly Singular Volterra Integrodifferential Equations

Abstract and Applied Analysis, 2012
The reproducing kernel method (RKM) and the Adomian decomposition method (ADM) are applied to solve nth-order nonlinear weakly singular Volterra integrodifferential equations. The numerical solutions of this class of equations have been a difficult topic
Xueqin Lv, Sixing Shi
doaj   +1 more source

Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method. [PDF]

Sci Rep, 2023
Jamal N, Sarwar M, Agarwal P, Mlaiki N, Aloqaily A.   +4 more
europepmc   +1 more source

Comparative study to some semi numerical methods for solving nonlinear Wave-like Equations with variable coefficient

مجلة علوم ذي قار, 2019
In this paper we solve the nonlinear wave-like Equations with variable coefficient by three Semi numerical methods, varational iteration method (VIM), homotopy perturbation method (HPM) and homotopy analysis method (HAM).
Mohanad Riyadh
doaj  

Dynamic Analysis and FPGA Implementation of a New Fractional-Order Hopfield Neural Network System under Electromagnetic Radiation. [PDF]

Biomimetics (Basel), 2023
Yu F, Lin Y, Xu S, Yao W, Gracia YM, Cai S.   +5 more
europepmc   +1 more source

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