Adomian polynomials - Open Access .click

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Bernstein collocation technique for a class of Sturm-Liouville problems. [PDF]

Heliyon
Farzana H, Kumar Bhowmik S, Alim MA.
europepmc +1 more source

Conservation law, Chupin Liu's theorem and propagation of pulses in optical metamaterials modeled by NLSE with power law nonlinearity. [PDF]

Sci Rep
Zhu H +6 more
europepmc +1 more source

New recurrence algorithms for the nonclassic Adomian polynomials [PDF]

Computers and Mathematics With Applications, 2011
In this article, we present new algorithms for the nonclassic Adomian polynomials, which are valuable for solving a wide range of nonlinear functional equations by the Adomian decomposition method, and introduce their symbolic implementation in ...
Jun-Sheng Duan
exaly +2 more sources

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.
Yücel Çenesİz
exaly +2 more sources

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adomian decomposition method
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A new algorithm for calculating adomian polynomials for nonlinear operators

Applied Mathematics and Computation, 2000
Abdul-Majid Wazwaz
exaly

Practical formulae for the calculus of multivariable adomian polynomials

Mathematical and Computer Modelling, 1995
K Abbaoui, Y Cherruault
exaly

Recurrence triangle for Adomian polynomials

Applied Mathematics and Computation, 2010
Jun-Sheng Duan
exaly

Convenient analytic recurrence algorithms for the Adomian polynomials

Applied Mathematics and Computation, 2011
Jun-Sheng Duan
exaly

An efficient algorithm for the multivariable Adomian polynomials