Results 101 to 110 of about 11,407,574 (171)

Numeric Modified Adomian Decomposition Method for Power System Simulations

open access: yes, 2016
This paper investigates the applicability of numeric Wazwaz El Sayed modified Adomian Decomposition Method (WES-ADM) for time domain simulation of power systems. WES-ADM is a numerical method based on a modified Adomian decomposition (ADM) technique. WES-
Simunovic, Srdjan   +7 more
core   +1 more source

Solution of Time-Fractional Coupled Burgers Equations by the Yang Transform Adomian Decomposition Method

open access: yesJournal of Applied Mathematics
In this paper, the Yang transform Adomian decomposition method (YTADM) is employed in the solution of nonlinear time-fractional coupled Burgers equations.
Mustafa Ahmed Ali, Mehmet Merdan
doaj   +1 more source

Cubic-quartic bright optical solitons with improved Adomian decomposition method. [PDF]

open access: yesJ Adv Res, 2020
González-Gaxiola O   +3 more
europepmc   +1 more source

Extension of optimal auxiliary function method to nonlinear Sine Gordon differential equations

open access: yesPartial Differential Equations in Applied Mathematics
In this paper, the new semi-analytical method called optimal auxiliary function method has been extended for finding the approximate solution of the non-linear Sine Gordon and Burger equations.
Aaqib Iqbal   +5 more
doaj   +1 more source

A New Result On Adomian Decomposition Method For Solving Bratu’s Problem [PDF]

open access: yes, 2013
This paper investigates the properties of solution to the nonlinear Bratu’s problem. Approximate solution of the strongly nonlinear problem is obtained using the rapidly convergent Adomian decomposition method.
Arekete, S. A.   +2 more
core   +1 more source

Resolution of nonlinear and non-autonomous ODEs by the ADM using a new practical Adomian polynomials

open access: yesBulletin of Computational Applied Mathematics, 2020
In this paper, a new practical formulas of Adomian polynomials has been adapted to resolve nonlinear and non-autonomous ordinary differential equations by the Adomian decomposition method, a simple computational for this new polynomials has been ...
Idriss Noureddine Zaouagui   +1 more
doaj  

SOME COMENTS ON THE ADOMIAN DECOMPOSITION METHOD

open access: yes, 2006
We comment on the Adomian decomposition Method which is very popular for producing approximate analytical expressions for solutions to nonlinear problems. Merits of the method are sometimes exaggerated.
AHMAD, F, ALFHAID, A S
core  

Numerical solution of chaotic Genesio system with multi-step Laplace Adomian decomposition method

open access: yesKuwait Journal of Science, 2013
In this paper, a novel method for approximate analytic series solution called Multi-step Laplace Adomian Decomposition Method (MLADM) has been proposed for solving the chaotic Genesio system (CGS).
NURETTIN DOGAN
doaj  

An efficient and accurate modified Adomian decomposition method for solving the Helmholtz equation with high-wavenumber [PDF]

open access: yesSurveys 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   +1 more
doaj  

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