Results 51 to 60 of about 1,266 (181)
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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Fractional Adomian Decomposition Method
, 2010 This paper has been asked to withdraw by the first ...
Wu, Guo-cheng, He, Ji-Huan
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The Novel Numerical Solutions for Time‐Fractional Fishers Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan +3 more
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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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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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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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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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ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION
Science Journal of University of ZakhoThe Sasa-Satsuma equation is an integrable higher-order nonlinear Schrodinger equation. In this paper, two schemes are proposed to study numerical solutions of the Sasa-Satsuma nonlinear Schrödinger equation with initial conditions using the Adomian ...
Knier Salih, Saad Manaa
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Matematika, 2019 Abstrak. Pada umumnya orde dari persamaan diferensial adalah bilangan asli, namun orde pada persamaan diferensial dapat dibentuk menjadi orde pecahan yang disebut persamaan diferensial fraksional.
Muhamad Deni Johansyah +4 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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