Results 61 to 70 of about 6,268 (199)
Convergence of Adomian's decomposition method: periodic temperatures
Computers & Mathematics with Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Adomian decomposition method by Gegenbauer and Jacobi polynomials
International Journal of Computer Mathematics, 2011 In this paper, orthogonal polynomials on [–1,1] interval are used to modify the Adomian decomposition method (ADM). Gegenbauer and Jacobi polynomials are employed to improve the ADM and compared with the method of using Chebyshev and Legendre polynomials.
Cenesiz, Yucel, Kurnaz, Aydin
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This study presents a modified Laplace transform homotopy perturbation method (MLT‐HPM) for obtaining approximate solutions for fractional‐order Bratu‐type ordinary differential equations involving Caputo fractional derivatives. The proposed modification introduces a specific rule for selecting the initial solution, replacing the conventional random ...
Ibrahim Hailat, Patricia J. Y. Wong
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A.S.J. AL-Saif Adomian decomposition method for solving two-dimensional Schrödinger equation
مجلة علوم ذي قار, 2019 In this paper, Adomian decomposition method is applied to approximate the solution of two-dimensional Schrödinger equation. Also, the convergence proof of the Adomian decomposition method is presented.
A. AL-Saif
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Results in Physics, 2018 A three-dimensional modeling of fish school performed by a modified Adomian decomposition method (ADM) discretized by the finite difference method is proposed.
Yinwei Lin, Jing-Tang Yang, Ruimin Chen
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Approximate Solution of Kuramoto-Sivashinsky Equation Using Reduced Differential Transform Method
, 2014 In this study, approximate solution of Kuramoto-Sivashinsky Equation, by the reduced differential transform method, are presented. We apply this method to an example. Thus, we have obtained numerical solution Kuramoto-Sivashinsky equation.
Acan, Omer, Keskin, Yildiray
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper investigates the existence and uniqueness of solutions to nonlinear Volterra integral equations of variable fractional order in Fréchet spaces. The variable‐order fractional derivative is considered in the Riemann–Liouville sense, which extends classical approaches and is central to the paper’s novelty.
Mohamed Telli +5 more
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Advances in Mechanical Engineering, 2016 The fractional reaction diffusion equation is one of the popularly used fractional partial differential equations in recent years. The fast Adomian decomposition method is used to obtain the solution of the Cauchy problem.
Xiang-Chao Shi, Lan-Lan Huang, Yi Zeng
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Comment on the numerical solutions of a new coupled MKdV system (2008 Phys. Scr. 78 045008)
, 2009 In this comment we point out some wrong statements in the paper by Inc and Cavlak, Phys. Scr.
Fernández F M +8 more
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Numerical and Analytical Solutions for a Nonlinear System
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper investigates two nonlinear reaction–diffusion systems: (i) a spatially extended competitive species model and (ii) the FitzHugh–Nagumo system, which serves as a canonical model of excitable media. For the first system, we derive exact closed‐form solutions using the exponential function method; these solutions exhibit spatially periodic ...
Badran Jasim Salim +2 more
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