New recurrence algorithms for the nonclassic Adomian polynomials
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun-Sheng Duan
semanticscholar +4 more sources
Adomian's polynomials for nonlinear operators
Mathematical and Computer Modelling, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seng, V., Abbaoui, K., Cherruault, Y.
openaire +4 more sources
A novel technique using integral transforms and residual functions for nonlinear partial fractional differential equations involving Caputo derivatives. [PDF]
PLoS ONEFractional 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 +3 more
doaj +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.
Abbaoui, K., Cherruault, Y., Seng, V.
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Adomian decomposition method with orthogonal polynomials: Legendre polynomials
Mathematical and Computer Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Comparative study of Adomian decomposition method and Clique polynomial method
Partial Differential Equations in Applied Mathematics, 2022 This paper generated the novel approach called the Clique polynomial method (CPM) using the Clique polynomials raised in graph theory. Nonlinear initial value problems are converted into nonlinear algebraic equations by discretization with suitable grid ...
Kumbinarasaiah S, Mallanagoud Mulimani
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Application of Adomian polynomials for solving nonlinear integro-differential equations
Journal of Mathematics and Computer Science, 2023 M. A. Abdel-Aty, M. E. Nasr
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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
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Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 In this paper, Adomian Decomposition Method with Adomian polynomials are applied to solve Allen - Cahn equation with the initial condition only, also DuFort-Frankel method is applied with the initial and boundary conditions.
Abdulghafor Al-Rozbayani
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New iterative technique for computing Fourier transforms. [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2023 The Fourier transformations have stimulated many amounts of articles in recent years. they arise in the fields of engineering, control systems, and technology like analyzing signals in electronic circuits, radio circuits, cell phones, image processing ...
Ahmad Issa, Murat Düz
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