Results 81 to 90 of about 5,810 (155)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 11630-11651, August 2025.ABSTRACT This study examines the complex dynamics of dengue transmission by incorporating time delay into a comprehensive model. The model is designed to capture several essential components, including steady‐state events, immune waning, recuperation from infection, and partial shielding in human populations.
G. M. Vijayalakshmi +4 more
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Numerical analysis of Lane Emden–Fowler equations
Journal of Taibah University for Science, 2018 This paper is devoted to the numerical solutions of Lane Emden–Fowler partial differential equations. For the numerical analysis, we apply Laplace transform coupled with the Adomian decomposition method known as the Laplace Adomian decomposition method ...
Atta Ullah, Kamal Shah
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The Adomian Decomposition Method for Eigenvalue Problems
Journal of Applied & Computational Mathematics, 2016 The Adomian decomposition method (ADM) is a powerful method which considers the approximate solution of a non-linear equation as an infinite series which usually converges to the exact solution. In this paper, this method is proposed to solve some eigenvalue problems.
Nhawu G, Mafuta P
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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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The exact solutions of nonlinear problems by Homotopy Analysis Method (HAM) [PDF]
Computational Ecology and Software, 2016 The present paper presents the comparison of analytical techniques. We establish the existence of the phenomena of the noise terms in the perturbation series solution and find the exact solution of the nonlinear problems.
Hafiz Abdul Wahab +2 more
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Solving the nonlinear biharmonic equation by the Laplace-Adomian and Adomian Decomposition Methods
Surveys in Mathematics and its Applications, 2018 20 pages, 4 ...
Man Kwong Mak +2 more
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Engineering Reports, Volume 7, Issue 6, June 2025.ABSTRACT Co‐infections such as malaria and tuberculosis pose significant public health challenges, particularly in regions where both diseases are endemic. Despite the global burden of these infections, their combined transmission dynamics remain poorly understood, highlighting the importance of this study. We develop a comprehensive mathematical model
Benedict Celestine Agbata +7 more
wiley +1 more source
Adomian Decomposition Method- a brief introduction
Anusandhaan - Vigyaan Shodh Patrika, 2019 In present article, an attempt is made to give a brief introduction of Adomian Decomposition Method(ADM) for solving differential equations. Advantage and accuracy of the method is shown by solving some examples.
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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
Abstract and Applied Analysis, 2012 We develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM).
Hassan Eltayeb, Adem Kılıçman
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