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Adomian Decomposition Method (ADM)
Boundary Value Problems for Engineers, 2019The Adomian decomposition method (ADM) is a method for the solution of both linear and nonlinear differential equations and BVPs seen in different fields of science and engineering. However, the implementation of this method mainly depends upon the calculation of Adomian polynomials for nonlinear operators.
A. U. Keskin
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Journal of Mechanics in Medicine and Biology, 2015
The Adomian decomposition method (ADM) is applied to analyze Newtonian bio-magneto-tribological squeeze film flow with magnetic induction effects incorporated. Robust solutions are developed for the transformed radial and tangential momentum and radial and tangential induced magnetic field conservation equations. The effects of squeeze Reynolds number (
O. ANWAR BÉG +3 more
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The Adomian decomposition method (ADM) is applied to analyze Newtonian bio-magneto-tribological squeeze film flow with magnetic induction effects incorporated. Robust solutions are developed for the transformed radial and tangential momentum and radial and tangential induced magnetic field conservation equations. The effects of squeeze Reynolds number (
O. ANWAR BÉG +3 more
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Arabian Journal for Science and Engineering, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Naji
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Naji
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Science Forum (Journal of Pure and Applied Sciences), 2019
Nibron Manjak, OKAI O, ENOCH SULEIMAN
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Nibron Manjak, OKAI O, ENOCH SULEIMAN
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International Communications in Heat and Mass Transfer, 2021
This paper aims to study the flow of water-Copper nanofluid in a channel formed by two inclined planes, with imprecise nanoparticle volume fraction. In this study, the impreciseness of the volume fraction has been considered as a triangular fuzzy number [
U. Biswal +3 more
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This paper aims to study the flow of water-Copper nanofluid in a channel formed by two inclined planes, with imprecise nanoparticle volume fraction. In this study, the impreciseness of the volume fraction has been considered as a triangular fuzzy number [
U. Biswal +3 more
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Current Topics on Mathematics and Computer Science Vol. 6, 2021
The Adomian decomposition method (ADM) is a well-known for analytical approximate solutions of linear or nonlinear ordinary differential equations (ODEs), Fractional Differential Equations (FDEs) , integral equations ,integral differential equations, etc.
Abdollah Sadeghinia, P. Kumar
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The Adomian decomposition method (ADM) is a well-known for analytical approximate solutions of linear or nonlinear ordinary differential equations (ODEs), Fractional Differential Equations (FDEs) , integral equations ,integral differential equations, etc.
Abdollah Sadeghinia, P. Kumar
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, 2021
In this paper, we will apply the Adomian decomposition method (ADM) to three different examples of the Telegraph Equation with a nonlinear term by the two polynomials called Adomian polynomials and the new accelerated Adomian polynomials proposed by El ...
A. Y. Sayed +3 more
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In this paper, we will apply the Adomian decomposition method (ADM) to three different examples of the Telegraph Equation with a nonlinear term by the two polynomials called Adomian polynomials and the new accelerated Adomian polynomials proposed by El ...
A. Y. Sayed +3 more
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Enhanced Adomian Decomposition Method for Accurate Numerical Solutions of PDE Systems
Asian Research Journal of MathematicsThis research addresses critical challenges in numerical solutions, which are vital for various engineering and physical fields. The Modified Adomian Decomposition Method (MADM) is proposed as a novel approach for solving linear and nonlinear partial ...
S. Alomari, Yahya Qaid Hasan
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Mathematics
The Troesch problem is a well-known and important problem; the ability to solve it is important due to the practical applications of this problem. In this paper, we propose a method to solve this problem using a combination of two useful algorithms ...
M. Pleszczyński +2 more
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The Troesch problem is a well-known and important problem; the ability to solve it is important due to the practical applications of this problem. In this paper, we propose a method to solve this problem using a combination of two useful algorithms ...
M. Pleszczyński +2 more
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Far East Journal of Mathematical Sciences (FJMS)
In this paper, we investigate a nonlinear oscillator with coordinate-dependent mass. We derive approximate solutions for this oscillator using the Homotopy Perturbation Method (HPM), the Adomian Decomposition Method (ADM), and a coupled approach combining HPM with the Parameter-Expansion Method (PEM).
BAGAYOGO Moussa +3 more
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In this paper, we investigate a nonlinear oscillator with coordinate-dependent mass. We derive approximate solutions for this oscillator using the Homotopy Perturbation Method (HPM), the Adomian Decomposition Method (ADM), and a coupled approach combining HPM with the Parameter-Expansion Method (PEM).
BAGAYOGO Moussa +3 more
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