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Solving the Nonlinear Charged Particle Oscillation Equation Using the Laplace–Adomian Decomposition Method

open access: yesAdvances in Mathematical Physics
This manuscript presents a comprehensive exploration of the nonlinear charged particle oscillation equation, employing the Laplace–Adomian decomposition method (LDM) to obtain approximate analytical solutions. The investigation leads to the formulation of five initial equations governing the oscillatory behavior of a charged particle, which are ...
Omar Alomari   +3 more
openaire   +2 more sources

Solving Nonlinear Partial Differential Equations By Using Adomian Decomposition Method, Modified Decomposition Method And Laplace Decomposition Method

open access: yesMANAS: Journal of Engineering, 2017
In this paper, we consider mostly the inhomogeneous Fitzhugh-Nagumo-Huxley equation with its initial value. Adomian Decomposition Method (ADM), Modified Decomposition Method (MDM) and Laplace Decomposition Method (LDM) are applied to this equation to ...
Ömer Faruh Gözükızıl   +1 more
doaj  

Modified conformable double Laplace-Sumudu approach with applications. [PDF]

open access: yesHeliyon, 2023
Ahmed SA, Saadeh R, Qazza A, Elzaki TM.
europepmc   +1 more source

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