Results 91 to 100 of about 1,952 (181)

Adomian decomposition method for solving nonlinear fractional delay differential equations [PDF]

BIO Web of Conferences
In this survey, presented numerical method said Adomian decomposition method (ADM) for settling nonlinear fractional delay differential equations (NFDDEs) .In this status use the fractional derivative with the Riemann-Liouville fractional (RLF ...
Gatea Ali Abdulsada
doaj   +1 more source

A new effective weighted modified perturbation technique for solving a class of hypersingular integral equations

, 2017
This paper is an attempt to solve an important class of hypersingular integral equations of the second kind. To this end, we apply a new weighted and modified perturbation method which includes some special cases of the Adomian decomposition method.
Akrami, Mostafa, Lotfi, Taher, Yaghoobi, Farajollah Mohammadi   +2 more
core  

Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method

Abstract and Applied Analysis, 2014
We demonstrate the efficiency of reproducing kernel Hilbert space method on the seventh-order boundary value problems satisfying boundary conditions. These results have been compared with the results that are obtained by variational iteration method (VIM)
Mustafa Inc, Ali Akgül
doaj   +1 more source

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

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

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

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