Results 51 to 60 of about 445 (153)
A comparative study of a system of Lotka-Voltera type of PDEs through perturbation methods [PDF]
Computational Ecology and Software, 2013 In this paper the Adomian Decomposition Method (ADM) is employed in order to solve linear and nonlinear functional equations and the results are then compared with those produced by Homotopy Perturbation Method (HPM) through a system of Lotka Voltera ...
T. Khan, et al., M. Shakil, H. A. Waha
doaj
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this research, we introduce the fractional Adomian J‐transform method FAJM, which functions as a robust hybrid analytical‐numerical framework. Diverging from traditional transform techniques, the FAJM leverages the specific scaling attributes of the J‐transform to streamline the inversion of nonlocal fractional operators.
Nazek A. Obeidat +3 more
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Journal of Applied Mathematics, 2014 The modified decomposition method (MDM) and homotopy perturbation method (HPM) are applied to obtain the approximate solution of the nonlinear model of tumour invasion and metastasis.
Norhasimah Mahiddin, S. A. Hashim Ali
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A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10970-10977, 30 July 2025.ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
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Advances in Mathematical Physics, 2013 The study in this paper mainly concerns the inverse problem of determining an unknown source function in the linear fractional differential equation with variable coefficient using Adomian decomposition method (ADM).
Gülcan Özkum +4 more
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Application of Adomian decomposition method to nonlinear systems
Advances in Difference Equations, 2020 In this paper, we study the Adomian decomposition method (ADM for short) including its iterative scheme and convergence analysis, which is a simple and effective technique in dealing with some nonlinear problems.
Wenjin Li, Yanni Pang
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Engineering Reports, Volume 7, Issue 4, April 2025.ABSTRACT The study introduces a computational method that combines Legendre polynomials with Gauss–Lobatto points to solve nonlinear coupled differential equations, focusing on the Williamson fluid model under the influence of mixed convection and permeability with mixed boundary conditions.
R. A. Oderinu +4 more
wiley +1 more source
Kuwait Journal of ScienceThis study presents a comparative analysis of the classical Adomian decomposition method (ADM) and the spectral Adomian decomposition method (SADM) for solving the strongly nonlinear boundary value problem governing the human corneal shape.
Mohammed Abdalbagi
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Adomian Decomposition Method for Solving Parabolic Partial Differential Equations in Three Dimensions [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper, we use the approximate solution of linear partial differential equations in three dimensions of the parabolic type by using Adomian Decomposition Method (ADM).
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INTERANTIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENTIn 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.
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