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Application of the Adomian Decomposition Method (ADM) to Solving the Systems of Partial Differential Equations [PDF]

International Journal of Applied Mathematics and Theoretical Physics, 2021
Solving systems of partial differential equations (linear or nonlinear) with dirchelet boundary conditions has rarely made use of the Adomian decompositional method. The aim of this paper is to obtain the exact solution of some systems of linear and nonlinear partial differential equations using the adomian decomposition method.After having generated ...
Justin Mouyedo Loufouilou, Joseph Bonazebi Yindoula, Gabriel Bissanga   +2 more
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Estimation Of Diffusion Cofficients And Convective Velocities Of 137 cs (Radiocaesium) Within Undisturbed Soils In Southwestern Nigeria By Solving Fokker-Planck Equation Using Adomian Decomposition Method (Adm).

IOSR Journal of Applied Physics, 2014
Adomian Decomposition Method (ADM) was employed to solve the second order differential equation of diffusion-convection model for the mobility of radiocaesium in undisturbed soils of southwestern Nigeria. Applying this method the convection velocity ranged from 0.09 to 0.16 cmy -1 and the diffusion coefficients varied from 0.07 to 1 cm 2 y -1 .
Faweya E. B, Opoyemi O. Enoch, Adesakin G.E, Fatigun A.T   +3 more
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Application of the Adomian Decomposition Method (ADM) for Solving the Singular Fourth-Order Parabolic Partial Differential Equation

Journal of Applied Mathematics and Physics, 2018
In this paper, the ADM method is used to construct the solution of the singular fourth-order partial differential equation.
Béyi Boukary, Justin Loufouilou-Mouyedo, Joseph Bonazebi Yindoula, Gabriel Bissanga   +3 more
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Estimation of Build-Up of Nuclide during Irradiation by Solving Ode through Adomian Decomposition Method (Adm).

IOSR Journal of Applied Physics, 2013
In this work, we considered first order differential equation (FODE) for nuclide build-up during irradiation of Gold (Au) with neutron. The approximate solutions to FODE are obtained using the Adomian Decomposition Method (ADM). Results have been found to be accurate and effective when compared with analytical solutions.
E.B Faweya Faweya
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Solving viscid Burgers equation by Adomian decomposition Method (ADM), Regular Pertubation Method (RPM) and Homotopy Perturbation Method (HPM)

International Journal of Applied Mathematical Research
In this paper the Adomian decomposition Method (ADM), Regular Pertubation Method (RPM) and the Homotopy Perturbation Method (HPM) are used to study Burgers equation. Then we compare the solutions obtained by these three methods.
Moussa BAGAYOGO, Youssouf MINOUNGOU, NEBIE Abdoul Wassiha, Youssouf Paré   +3 more
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Existence and uniqueness theorem for fuzzy fractional integral equations with the fuzzy caputo fractional derivative by using Adomians decomposition method (ADM)

Journal of Research in Science, Engineering and Technology, 2019
We present on existence and uniqueness theorem for integral equation of fractional order in volving fuzzy set value mayping of a real variable whose values are normal , convex , upper , semicontinuous , and compactly sufforted fuzzy sets in ir , we establish condition for a class of initial value froblem for impulsive frac tional antegrab inclusion ...
Mohammadreza Nourizadeh, Nasser Mikaeilvand, Hossien Monfared   +2 more
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An Approached Solution of Wave Equation with Cubic Damping by Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM) and Adomian Decomposition Method (ADM)

Journal of Mathematics Research, 2018
In this study, we consider the wave equation with cubic damping with its initial conditions. Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM) and Adomian decomposition Method (ADM) are applied to this equation. Then, the solution yielding the given initial conditions is gained.
Bagayogo Moussa, Youssouf Paré, MINOUNGOU Youssouf   +2 more
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Apply Adomian Decomposition Method (ADM) and Haar Wavelet Method (HWM) for Applications of linear Differential Equations

INTERANTIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENT
In this work, the numerical solution of the equations arising in simple harmonic motion and free oscillation is found using the Adomian decomposition method (ADM). For comparison analysis, the Haar wavelet method (HWM) is used. Some numerical examples have been performed to illustrate the accuracy of the present work.
Irfan Ul Haq
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Adomian decomposition method for first order PDEs with unprescribed data

Alexandria Engineering Journal, 2021
In this paper we like to explore the full power of Adomian decomposition method (ADM), specially its symbolic capability. We will demonstrate the standard ADM and ADM with integration factor to compute explicit closed form solutions of first order scalar
Tzon-Tzer Lu, Wei-Quan Zheng
doaj   +3 more sources

HOMOTOPY PERTURBATION METHOD (HPM), ADOMIAN DECOMPOSITION METHOD (ADM) AND COUPLING HPM AND PEM (PARAMETER-EXPANSION METHOD) FOR NONLINEAR OSCILLATOR WITH COORDINATE-DEPENDENT MASS

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, MINOUNGOU Youssouf, NEBIE Abdoul Wassiha, PARE Youssouf   +3 more
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