Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations [PDF]
Entropy, 2019 In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace–Adomian decomposition method.
Rasool Shah +3 more
doaj +4 more sources
Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations
Journal of Function Spaces, 2021 In this work, the solution of the linear, nonlinear, and coupled system fractional singular two-dimensional pseudoparabolic equation is examined by using a three-dimensional Laplace Adomian decomposition method (3-DLADM).
Hassan Eltayeb +3 more
doaj +3 more sources
Laplace Adomian decomposition method for solving a fish farm model
Nonautonomous Dynamical Systems, 2016 Abstract In this work, a combined form of the Laplace transform method and the Adomian decomposition method is implemented to give an approximate solution of nonlinear systems of differential equations such as fish farm model with three components nutrient, fish and mussel.
M Sambath
exaly +3 more sources
Laplace Adomian Decomposition Method for Multi Dimensional Time Fractional Model of Navier-Stokes Equation [PDF]
Symmetry, 2019 In this research paper, a hybrid method called Laplace Adomian Decomposition Method (LADM) is used for the analytical solution of the system of time fractional Navier-Stokes equation. The solution of this system can be obtained with the help of Maple software, which provide LADM algorithm for the given problem.
, Hassan Khan, Shahid Mahmood
exaly +2 more sources
A fractional order model of Lassa disease using the Laplace-Adomian Decomposition Method
Healthcare Analytics, 2023 Lassa fever is a viral infection that is most common in West Africa. This study presents a fractional order model of Lassa disease. The model’s analytical solution is obtained using the Laplace Adomian Decomposition Method (LADM) in the form of infinite series that converge quickly to its exact value.
Moruf Oyedunsi Olayiwola +1 more
exaly +3 more sources
Gaussons: optical solitons with log-law nonlinearity by Laplace–Adomian decomposition method [PDF]
Open Physics, 2020 AbstractThis paper presents optical Gaussons by the aid of the Laplace–Adomian decomposition scheme. The numerical simulations are presented both in the presence and in the absence of the detuning term. The error analyses of the scheme are also displayed.
Abdullah K Alzahrani +2 more
exaly +3 more sources
Computation of the General Relativistic Perihelion Precession and of Light Deflection via the Laplace-Adomian Decomposition Method [PDF]
Advances in High Energy Physics, 2018 We study the equations of motion of the massive and massless particles in the Schwarzschild geometry of general relativity by using the Laplace-Adomian Decomposition Method, which proved to be extremely successful in obtaining series solutions to a wide ...
Man Kwong Mak +2 more
doaj +5 more sources
The Study for Synchronization between Two Coupled FitzHugh-Nagumo Neurons Based on the Laplace Transform and the Adomian Decomposition Method [PDF]
Neural Plasticity, 2021 The synchronization between two coupled FitzHugh-Nagumo (FHN) neurons with or without external current is studied by using the Laplace transform and the Adomian decomposition method.
Bin Zhen, Zigen Song
doaj +2 more sources
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 +2 more sources
ANALYTIC SOLUTION TO BENJAMIN-BONA-MAHONY EQUATION BY USING LAPLACE ADOMIAN DECOMPOSITION METHOD [PDF]
Matrix Science Mathematic, 2019 In this paper, we want to find the analytic solution of Benjamin-Bona-Mahony (BBM) equation by using Laplace Adomian Decomposition Method. Laplace Adomian Decomposition Method is an excellent mathematical tool for solving linear and nonlinear ...
Muhammmad Ikram +2 more
doaj +1 more source