Results 1 to 10 of about 334 (167)

Adomian Decomposition Method with Orthogonal Polynomials: Laguerre Polynomials and the Second Kind of Chebyshev Polynomials [PDF]

Mathematics, 2021
In this paper, a new efficient and practical modification of the Adomian decomposition method is proposed with Laguerre polynomials and the second kind of Chebyshev polynomials which has not been introduced in other articles to the best of our knowledge.
Lingfei Li, Mancang Wang
exaly   +4 more sources

Analytic solutions for Euler–Bernoulli beams with axial compression resting on a nonlinear elastic foundation using MADM [PDF]

Scientific Reports
This article investigates the deflection behavior of Euler–Bernoulli beams subjected to axial compression and resting on a nonlinear elastic foundation.
Li-Kuo Chou, Ming-Xian Lin
doaj   +2 more sources

Adomian decomposition method with orthogonal polynomials: Legendre polynomials

Mathematical and Computer Modelling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yucheng Liu
exaly   +2 more sources

Practical formulae for the calculus of multivariable adomian polynomials

Mathematical and Computer Modelling, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K Abbaoui, Y Cherruault
exaly   +2 more sources

New recurrence algorithms for the nonclassic Adomian polynomials

Computers and Mathematics With Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun-Sheng Duan
exaly   +2 more sources

Adomian's polynomials for nonlinear operators

Mathematical and Computer Modelling, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K Abbaoui, Y Cherruault
exaly   +3 more sources

Symbolic Generation of Adomian Polynomials for Different Nonlinearities by Python [PDF]

Journal of Chemical and Petroleum Engineering
The Adomian decomposition method (ADM) is a powerful mathematical technique to find closed-form solutions to nonlinear functional equations including ODEs, PDEs, differential-difference, integral, integro-differential, algebraic, and transcendental ...
Mohsen Noorimohammad, Asadollah Houshmand, Hooman Fatoorehchi   +2 more
doaj   +2 more sources

A novel technique using integral transforms and residual functions for nonlinear partial fractional differential equations involving Caputo derivatives. [PDF]

PLoS ONE
Fractional nonlinear partial differential equations are used in many scientific fields to model various processes, although most of these equations lack closed-form solutions.
Zareen A Khan, Muhammad Bilal Riaz, Muhammad Imran Liaqat, Ali Akgül   +3 more
doaj   +2 more sources

Numerical resolution of Emden's equation using Adomian polynomials [PDF]

International Journal of Numerical Methods for Heat and Fluid Flow, 2013
PurposeIn this paper the authors aim to show the advantages of using the decomposition method introduced by Adomian to solve Emden's equation, a classical non‐linear equation that appears in the study of the thermal behaviour of a spherical cloud and of the gravitational potential of a polytropic fluid at hydrostatic equilibrium.Design/methodology ...
Ramon Rizo, FRANCISCO A Pujol, Mar Pujol   +2 more
exaly   +3 more sources

A practical review of the Adomian decomposition method: computer implementation aspects [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2015
In this paper, a practical review of the Adomian decomposition method, to extend the procedure to handle the strongly nonlinear problems under the mixed conditions, is given and the convergence of the algorithm is proved.
Ahmad Molabahrami
doaj   +1 more source