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, 2023 : In this paper, we will display Adomian decomposition method for solving second-order ordinary differential equations with constant coefficient. The Adomian decomposition method(ADM) is a creative and effective method for exact solution. It is important
Mohammed Ali Qasem Mohsen +1 more
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Solve the Second Order Ordinary Differential Equations by Adomian Decomposition Method
, 2023 : The Adomian decomposition model (ADM) is described by Evans and Raslan (2005) as a semi-analytical model used to solve partial and ordinary non-linear differentials.
Yousef Ali Sulaiman Alsulaiman +1 more
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Alexandria Engineering Journal, 2020 In this article, we investigate the semi-analytic solutions of non-linear Volterra fractional integro-differential equations by using Laplace Adomian decomposition method. We discuss the method in general and provide examples for the illustration purpose.
Hussam Alrabaiah +3 more
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An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations
Mathematics, 2019 In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method. The Caputo operator is used to define the fractional derivative.
Hassan Khan +4 more
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Approximation Solution of Volterra Integral Equation Using Adomian Decomposition Method [PDF]
Engineering and Technology Journal, 2009 In this paper, Adomian Decomposition method has been used to find the approximationsolution for the linear Volterra integral equation of the second kind.
Khawla A. AL-Zubaidy
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Application of adomian decomposition method to solving nonlinear differential equations [PDF]
, 2021 Thesis (M. Sc. (Applied Mathematics)) -- University of Limpopo, 2021Modelling with differential equations is of paramount importance as it provides pertinent insight into the dynamics of many engineering and technological devices and/or processes.
Sekgothe, Nkhoreng Hazel
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Alexandria Engineering Journal, 2018 In this paper, we considered nonlinear systems of fractional order differential equations. They have been solved by a computational methods which are so-called Laplace Adomian decomposition method (LADM) and modified Laplace decomposition method (MLDM ...
Osama H. Mohammed, Huda A. Salim
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An Innovative Approach to Nonlinear Fractional Shock Wave Equations Using Two Numerical Methods
Mathematics, 2023 In this research, we propose a combined approach to solving nonlinear fractional shock wave equations using an Elzaki transform, the homotopy perturbation method, and the Adomian decomposition method. The nonlinear fractional shock wave equation is first
Meshari Alesemi
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Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator
Journal of Function Spaces, 2021 This paper investigates a modified analytical method called the Adomian decomposition transform method for solving fractional-order heat equations with the help of the Caputo-Fabrizio operator.
Fatemah Mofarreh +5 more
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Application of Adomian Decomposition Method for Solving Helmholtz Equation [PDF]
, 2023 The Adomian decomposition method (ADM) is effective for solving linear and nonlinear ordinary and partial differential equations, integral equations, algebraic equations and integro-differential equations and it leads to an analytical solution in the ...
Hunaiber, Mona +1 more
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