Results 31 to 40 of about 1,952 (181)

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

open access: yesResults 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

Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation

open access: yesJournal of Applied Mathematics, 2021
The main purpose of this paper is to solve the nonlinear Schrödinger equation using some suitable analytical and numerical methods such as Sumudu transform, Adomian Decomposition Method (ADM), and Padé approximation technique. In many literatures, we can
Metomou Richard, Weidong Zhao
doaj   +1 more source

Solving Fuzzy Nonlinear Volterra-Fredholm Integral Equations by Using Homotopy Analysis and Adomian Decomposition Methods [PDF]

open access: yes, 2011
In this paper, Adomian decomposition method (ADM) and homotopy analysis method (HAM) are proposed to solving the fuzzy nonlinear Volterra-Fredholm integral equation of the second kind$(FVFIE-2)$.
Shadan Sadigh Behzadi
core   +1 more source

Buckling Analysis of Cantilever Nanoactuators Immersed in an Electrolyte: A Close Form Solution Using Duan-Rach Modified Adomian Decomposition Method

open access: yesJournal of Applied and Computational Mechanics, 2015
A new modified Adomian Decomposition Method (ADM) is utilized to obtain an analytical solution for buckling of the nanocantilever actuators immersed in liquid electrolytes.
Mohammad Ghalambaz   +2 more
doaj   +1 more source

Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order

open access: yesAbstract and Applied Analysis, 2013
Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense.
Veyis Turut, Nuran Güzel
doaj   +1 more source

Adomian Decomposition and Successive Approximation Methods for Solving Kaup-Boussinesq System

open access: yesScience Journal of University of Zakho, 2019
The Kaup-Boussinesq system has been solved numerically by using two methods, Successive approximation method (SAM) and Adomian decomposition method (ADM).
Saad A. Manaa, Nergiz M. Mosa
doaj   +1 more source

Usage of numerical methods to solve nonlinear mixed Volterra-Fredholm integral equations and their system

open access: yesResults in Nonlinear Analysis, 2021
In this paper, we apply the homotopy perturbation method (HPM), modified homotopy perturbation method (MHPM), variational iteration method (VIM), Adomian decomposition method (ADM), and modified Adomian decomposition method (MADM) to solve nonlinear ...
Fawziah M. Al-saar, Kirtiwant P. Ghadle
doaj   +1 more source

A continuous solution of solving a class of nonlineartwo point boundary value problem using Adomian decomposition method

open access: yesAin Shams Engineering Journal, 2019
In this paper, a modified version of Adomian decomposition method is used to solve a class of nonlinear boundary value problems. It is easy to solve IVP using ADM but there exist some difficulties in solving BVP.
I.L. EL-Kalla   +2 more
doaj   +1 more source

Free vibrations of axial-loaded beams resting on viscoelastic foundation using Adomian decomposition method and differential transformation

open access: yesEngineering Science and Technology, an International Journal, 2018
The aim of this paper is to reveal the effectiveness of Adomian decomposition method (ADM) and differential transform method (DTM) on free vibrations of axial-loaded Timoshenko beams resting on viscoelastic foundation.
Baran Bozyigit   +2 more
doaj   +1 more source

Comparative study of Adomian decomposition method and Clique polynomial method

open access: yesPartial Differential Equations in Applied Mathematics, 2022
This paper generated the novel approach called the Clique polynomial method (CPM) using the Clique polynomials raised in graph theory. Nonlinear initial value problems are converted into nonlinear algebraic equations by discretization with suitable grid ...
Kumbinarasaiah S, Mallanagoud Mulimani
doaj   +1 more source

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