Results 81 to 90 of about 11,407,574 (171)

Numeric-Analytic Solutions for Nonlinear Oscillators via the Modified Multi-Stage Decomposition Method

Mathematics, 2019
This work deals with a new modified version of the Adomian-Rach decomposition method (MDM). The MDM is based on combining a series solution and decomposition method for solving nonlinear differential equations with Adomian polynomials for nonlinearities.
Emad A. Az-Zo’bi, Kamel Al-Khaled, Amer Darweesh   +2 more
doaj   +1 more source

On composite nonlinearities and the decomposition method [PDF]

, 1986
Accurate, convergent, computable solutions using the decomposition method have been demonstrated in and papers for wide classes of nonlinear and/or stochastic differential, partial differential, or algebraic equations.
Rach, R, Adomian, G
core   +1 more source

Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations

Abstract and Applied Analysis, 2012
We develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM).
Hassan Eltayeb, Adem Kılıçman
doaj   +1 more source

Extracting a general iterative method from an Adomian decomposition method and comparing it to the variational iteration method [PDF]

, 2009
In this work, a new form of Adomian decomposition method (ADM) is presented; by this form a general iterative method can be achieved in which there is no need of calculating Adomian polynomials.
Biazar, J., J. Biazar, Ghanbari, B., M. Gholami Porshokuhi, B. Ghanbari, Gholami Porshokuhi, M.   +5 more
core   +1 more source

Solution of systems of algebraic equations by Adomian decomposition method [PDF]

, 2006
ÖZET Yüksek Lisans Tezi CEBİRSEL DENKLEM SİSTEMLERİNİN ADOMIAN AYRIŞIM YÖNTEMİ İLE ÇÖZÜMÜ S.BATTAL GAZİ KARAKOÇ İnönü Üniversitesi Fen Bilimleri Enstitüsü Matematik Anabilim Dalı 92+viii sayfa 2006 Tez Danışmanı: Yrd. Doç. Dr. Sibel ÖZER Bu Yüksek Lisans
Karakoç, Seydi Battal Gazi
core   +1 more source

Adomian decomposition method reformulated using dimensionless nonlinear perturbation theory [PDF]

The Adomian decomposition method (ADM) is a universal approach to solving governing equations in various engineering and technological applications. The applicability of the ADM is almost limitless due to its universal applicability, but its convergence ...
Kim, Albert S.
core   +2 more sources

On solving system of differential-algebraic equations using adomian decomposition method. [PDF]

F1000Res, 2023
Thota S, P S.
europepmc   +1 more source

Mathematical analysis of fractional-order Caputo's derivative of coronavirus disease model via Laplace Adomian decomposition method. [PDF]

Beni Suef Univ J Basic Appl Sci, 2022
Yunus AO, Olayiwola MO, Adedokun KA, Adedeji JA, Alaje IA.   +4 more
europepmc   +1 more source

Adomian decomposition method for solution of differential-algebraic equations [PDF]

, 2006
Solutions of differential algebraic equations is considered by Adomian decomposition method. In E. Babolian, M.M. Hosseini [Reducing index and spectral methods for differential-algebraic equations, J. Appl. Math. Comput. 140 (2003) 77] and M.M. Hosseini [
Hosseini, M.M.
core   +1 more source

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

Journal 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, Mehdi Ghalambaz, Mohammad Edalatifar   +2 more
doaj   +1 more source