Solving protoplanetary structure equations using Adomian decomposition method. [PDF]
Heliyon, 2021 Paul GC +6 more
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The Study for Synchronization between Two Coupled FitzHugh-Nagumo Neurons Based on the Laplace Transform and the Adomian Decomposition Method. [PDF]
Neural Plast, 2021 Zhen B, Song Z.
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On the Adomian (decomposition) method and comparisons with Picard's method
Journal of Mathematical Analysis and Applications, 1987 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Adomian Decomposition Method- a brief introduction
Anusandhaan - Vigyaan Shodh Patrika, 2019 In present article, an attempt is made to give a brief introduction of Adomian Decomposition Method(ADM) for solving differential equations. Advantage and accuracy of the method is shown by solving some examples.
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Adomian decomposition method for nonlinear Sturm-Liouville problems [PDF]
Surveys in Mathematics and its Applications, 2007 In this paper the Adomian decomposition method is applied to the nonlinear Sturm-Liouville problem-y" + y(t)p=λy(t), y(t) > 0, t ∈ I = (0, 1), y(0) = y(1) = 0, where p > 1 is a constant and λ > 0 is an eigenvalue parameter.
Sennur Somali, Guzin Gokmen
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Cubic-quartic bright optical solitons with improved Adomian decomposition method. [PDF]
J Adv Res, 2020 González-Gaxiola O +3 more
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Extension of optimal auxiliary function method to nonlinear Sine Gordon differential equations
Partial Differential Equations in Applied MathematicsIn 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
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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 +1 more
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Numerical solution of chaotic Genesio system with multi-step Laplace Adomian decomposition method
Kuwait 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
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