Results 41 to 50 of about 498,085 (213)

Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method

Journal of Applied Mathematics, 2021
Pollution has become an intense danger to our environment. The lake pollution model is formulated into the three-dimensional system of differential equations with three instances of input.
Indranil Ghosh, M. S. H. Chowdhury, Suazlan Mt Aznam, M. M. Rashid   +3 more
doaj   +1 more source

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

Bulletin 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, Toufik Badredine   +1 more
doaj  

Using a hybrid technique for the analytical solution of a coupled system of two-dimensional BurgerŠs equations [PDF]

Results in Nonlinear Analysis, 2018
Our aim in this paper is to investigate the analytical solutions of two dimensional non- linear system of Burger’s equations. We present two problems for the efficiency of the proposed hybrid techniques form by coupling Laplace transform with Adomian ...
Atta Ullah, Kamal Shah
doaj  

Taylor Series for Adomian Decomposition Method

, 2011
In the paper we analyse the exact solutions to scalar PDEs obtained thanks to summable Taylor series provided by Adomian's decomposition method. We propose the modification of the method which makes the calculations of Taylor coefficients easier and more
Kutafina, Ekaterina
core   +1 more source

Transcendental-hyperbolic functions and their Adomian polynomials with numerical results facilitated by nonlinear shanks transform

, 2020
In this paper, we provide explicitly the Adomian polynomials (AP) for transcendental-hyperbolic functions in a linear functional and forced the convergence of inconsistent solution series when Adomian decomposition method (ADM) is deployed in related ...
E. U. Agom, F. Ogunfiditimi, M. Mayaki
semanticscholar   +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

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

Saigo Space-Time Fractional Poisson Process via Adomian Decomposition Method

, 2017
We obtain the state probabilities of various fractional versions of the classical homogeneous Poisson process using an alternate and simpler method known as the Adomian decomposition method (ADM).
Kataria, K. K., Vellaisamy, P.
core   +1 more source

Adomian decomposition method by Gegenbauer and Jacobi polynomials

International Journal of Computer Mathematics, 2011
In this paper, orthogonal polynomials on [–1,1] interval are used to modify the Adomian decomposition method (ADM). Gegenbauer and Jacobi polynomials are employed to improve the ADM and compared with the method of using Chebyshev and Legendre polynomials.
Cenesiz, Yucel, Kurnaz, Aydin
openaire   +2 more sources

A Novel Iterative Method Based on Bernstein-Adomian Polynomials to Solve Non-Linear Differential Equations

, 2020
In this paper, a new iterative formula for solving ordinary and partial nonlinear differential equations is derived based on the combination between Bernstein’s polynomial and the Adomian decomposition formula.
A. Yousif, A. F. Qasim
semanticscholar   +1 more source