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Keywords: adomian decomposition method
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Journal Articles

Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations

Marwa Laoubi, Zaid Odibat, Banan Maayah
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2023, 18(2): 021001.
Paper No: CND-21-1340
https://doi.org/10.1115/1.4056254
Published Online: December 9, 2022
... (IVPs) consisting of nonlinear fractional ordinary differential equations (ODEs) and partial differential equations (PDEs). A comparative study was conducted between the proposed algorithms and the Adomian decomposition method (ADM) by means of some test illustration problems. The implemented numerical...
View Article titled, Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations
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Topics: Algorithms, Differential equations, Approximation, Partial differential equations
Journal Articles

Multistage Adomian Decomposition Method for Solving NLP Problems Over a Nonlinear Fractional Dynamical System

Fırat Evirgen, Necati Özdemir
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021003.
https://doi.org/10.1115/1.4002393
Published Online: October 20, 2010
...Fırat Evirgen; Necati Özdemir This paper deals with implementation of the multistage Adomian decomposition method (MADM) to solve a class of nonlinear programming (NLP) problems, which are reformulated with a nonlinear system of fractional differential equations. The multistage strategy is used...
View Article titled, Multistage <span class="search-highlight">Adomian</span> <span class="search-highlight">Decomposition</span> <span class="search-highlight">Method</span> for Solving NLP Problems Over a Nonlinear Fractional Dynamical System
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Topics: Dynamic systems, Nonlinear programming, Nonlinear systems, Optimization, Differential equations
Journal Articles

Adomian Decomposition Method for Solving a Cantilever Beam of Varying Orientation with Tip Mass

Mustafa Yaman
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2007, 2(1): 52–57.
https://doi.org/10.1115/1.2389167
Published Online: June 1, 2006
... on the natural frequency of the cantilever beam carrying a tip mass. An analytic solution is obtained by using the Adomian decomposition method. The accuracy of the Adomian decomposition method with a varying number of terms in the series is investigated by comparing its results with those generated...
View Article titled, <span class="search-highlight">Adomian</span> <span class="search-highlight">Decomposition</span> <span class="search-highlight">Method</span> for Solving a Cantilever Beam of Varying Orientation with Tip Mass
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Topics: Boundary-value problems, Cantilever beams, Finite element analysis, Partial differential equations, Finite element methods, Cantilevers