Results 1 to 10 of about 1,266 (181)

Modified Adomian decomposition method for solving the problem of boundary layer convective heat transfer

open access: yesPropulsion and Power Research, 2018
In this paper, we apply a new modification of the Adomian decomposition method for solving the problem of boundary layer convective heat transfer with viscous dissipation and low pressure gradient over a at plate.
Yassir Daoud, Ahmed A. Khidir
doaj   +1 more source

Existence theory and semi-analytical study of non-linear Volterra fractional integro-differential equations

open access: yesAlexandria 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
doaj   +1 more source

An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations

open access: yesMathematics, 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
doaj   +1 more source

Taylor series for the Adomian decomposition method [PDF]

open access: yesInternational Journal of Computer Mathematics, 2011
9 ...
openaire   +2 more sources

Approximation Solution of Volterra Integral Equation Using Adomian Decomposition Method [PDF]

open access: yesEngineering 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
doaj   +1 more source

Computational methods based laplace decomposition for solving nonlinear system of fractional order differential equations

open access: yesAlexandria 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
doaj   +1 more source

An Innovative Approach to Nonlinear Fractional Shock Wave Equations Using Two Numerical Methods

open access: yesMathematics, 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
doaj   +1 more source

Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator

open access: yesJournal 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
doaj   +1 more source

Iterative algorithm for parabolic and hyperbolic PDEs with nonlocal boundary conditions

open access: yesJournal of Ocean Engineering and Science, 2018
In this paper, we are concerned with the numerical solutions for the parabolic and hyperbolic partial differential equations with nonlocal boundary conditions.
N.A. Al-Zaid, H.O. Bakodah
doaj   +1 more source

Adomian Decomposition Tarig Transform Method

open access: yesJournal of Physics: Conference Series, 2022
Abstract Adomian decomposition Tarig transform technique (ADTTM) is a new variant of the A domian decomposition method for solving various models of partial differential equations. The Adomian decomposition method and the Tarig transform are combined in the ADTTM. The research makes extensive use of concrete instances.
N H Shaheed, Y Muhammad
openaire   +1 more source

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