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Yang Adomian Decomposition Method for Solving PDEs
The Yang Adomian decomposition technique (YADM) is an excellent analytical tool employed in this study to solve the partial differential equations (PDEs). The result of the suggested approach is stated as a series of Adomian components that converges to the precise solution of the problem.
Salem Abdulwahed Issa, Haleh Tajadodi
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Numerical solution of chaotic Genesio system with multi-step Laplace Adomian decomposition method
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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An efficient and accurate modified Adomian decomposition method for solving the Helmholtz equation with high-wavenumber [PDF]
This paper presents a modified Adomian decomposition method (MADM) for solving the one and two-dimensional Helmholtz equation with large wavenumbers. The standard Adomian decomposition method (ADM) suffers from severe divergence issues as the wavenumber ...
Saleem Nasser Alomari +1 more
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SOME REMARKS ON ADOMIAN DECOMPOSITION METHOD
SILVIA SEMINARA, MARIA INES TROPAREVSKY
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Solutions of complex equations with adomian decomposition method
In this study, first order linear complex differential equations have been solved with adomian decomposition method.
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CONVERGENCE OF ADOMIAN DECOMPOSITION METHOD FOR PDES
SILVIA SEMINARA, MARIA INES TROPAREVSKY
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THE FRANK'S KINETIC MODEL THROUGH THE ADOMIAN'S DECOMPOSITION METHOD
González-Gaxiola, O., Santiago, J. A.
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Adomian Decomposition Method for Bernoulli Differential Equations
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Adomian’s decomposition method for eigenvalue problems
Physical Review E, 2005We extend the Adomian's decomposition method to work for the general eigenvalue problems, in addition to the existing applications of the method to boundary and initial value problems with nonlinearity. We develop the Hamiltonian inverse iteration method which will provide the ground state eigenvalue and the explicit form eigenfunction within a few ...
Yee-Mou, Kao, T F, Jiang
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