Results 101 to 110 of about 6,268 (199)

Adomian Decomposition Method for Solving Goursat's Problems

Applied Mathematics, 2011
In this paper, Goursat’s problems for: linear and nonlinear hyperbolic equations of second-order, systems of nonlinear hyperbolic equations and fourth-order linear hyperbolic equations in which the attached conditions are given on the characteristics curves are transformed in such a manner that the Adomian decomposition method (ADM) can be applied ...
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Adomian's Decomposition Method to Generalized Magneto-Thermoelasticity

, 2018
Due to many applications and problems in the fields of plasma physics, geophysics, and other many topics, the interaction between the strain field and the magnetic field has to be considered. Adomian introduced the decomposition method for solving linear and nonlinear functional equations.
Youssef, Hamdy M., Al-Lehaibi, Eman A.
openaire   +1 more source

Cubic-quartic bright optical solitons with improved Adomian decomposition method. [PDF]

J Adv Res, 2020
González-Gaxiola O, Biswas A, Mallawi F, Belic MR.   +3 more
europepmc   +1 more source

Extension of optimal auxiliary function method to nonlinear Sine Gordon differential equations

Partial Differential Equations in Applied Mathematics
In 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, Rashid Nawaz, Rashid Ashraf, Mehran, Nick Fewster-Young, Hina   +5 more
doaj   +1 more source

Yang Adomian Decomposition Method for Solving PDEs

Journal of Education for Pure Science- University of Thi-Qar
     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

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
doaj  

An efficient and accurate modified Adomian decomposition method for solving the Helmholtz equation with high-wavenumber [PDF]

Surveys in Mathematics and its Applications
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 , Yahya Qaid Hasan   +1 more
doaj  

A hybrid yang transform adomian decomposition method for solving time-fractional nonlinear partial differential equation. [PDF]

BMC Res Notes
Bekela AS, Deresse AT.
europepmc   +1 more source

A novel technique to solve nonlinear higher-index Hessenberg differential-algebraic equations by Adomian decomposition method. [PDF]

Springerplus, 2016
Benhammouda B.
europepmc   +1 more source