Results 61 to 70 of about 1,266 (181)
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The bipolar fuzzy wave equation is crucial for modeling wave phenomena in systems characterized by dual uncertainty involving both positive and negative aspects of imprecise information. This study presents an innovative analytical framework for solving bipolar fuzzy wave equations using bipolar fuzzy Fourier sine transform under generalized Hukuhara ...
Muhammad Bilal +4 more
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The decomposition method: Adomian decomposition method
, 2021 Firstly, in this study, Adomian Decomposition Method is explained on problems which are in different types are related ordinary differential, partial differential and integral equations. The main purpose of this study is to examine the effect of thermal flux applied to a thick-walled cylinder which is made by composite materials.
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, the Yang transform Adomian decomposition method (YTADM) is employed in the solution of nonlinear time‐fractional coupled Burgers equations. The technique solves the fractional and nonlinear terms successfully via the Adomian decomposition of the Yang transform.
Mustafa Ahmed Ali +2 more
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Abstract and Applied Analysis, 2013 Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense.
Veyis Turut, Nuran Güzel
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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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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study presents a novel triple integral transformation, called the double ARA–generalized Laplace transform (DAGLT), and applies it to solve (2 + 1)–dimensional singular pseudoparabolic equations in both linear and nonlinear forms. The work begins by outlining the fundamental definitions, theorems, and characteristics of the single ARA and ...
Rania Saadeh +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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A Reliable Decomposition Method for Fractional‐Order Fokker–Planck Equation
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study analytically investigates the fractional Fokker–Planck equations (F‐FPEs) by employing the Sumudu decomposition method (SDM). This method combines the strengths of the Sumudu transform and the Adomian decomposition method (ADM) to effectively handle the nonlocality and memory characteristics inherent in governing fractional differential ...
Mona Alsulami +2 more
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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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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study examines approximate analytical solutions of the time‐fractional Swift–Hohenberg equation involving the Caputo–Fabrizio fractional derivative. The main objective of this study is to investigate efficient analytical approximation techniques using the Yang transform Adomian decomposition method (YTADM).
Mustafa Ahmed Ali +2 more
wiley +1 more source