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Differential transform method: A comprehensive review and analysis [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2022
The complexity of solving differential equations in real-world applications motivates researchers to extend numerical methods. Among different numerical and semi-analytical methods for solving initial and boundary value problems, the differential ...
S.H. Hashemi Mehne
doaj   +1 more source

Different Groups of Variational Principles for Whitham-Broer-‎Kaup Equations in Shallow Water [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2020
Because the variational theory is the theoretical basis for many kinds of analytical or numerical methods, it is an essential but difficult task to seek explicit functional formulations whose extrema are sought by the nonlinear and complex models. By the
Xiao-Qun Cao   +4 more
doaj   +1 more source

Flow development region in the boundary layer: two-component molecular viscosity and partial slip

open access: yesАвіаційно-космічна техніка та технологія, 2023
The subject of this study is the flow development region of laminar incompressible fluid flow in the boundary layer. This flow is an example where a direct application of the Navier-Stokes equations of gradient-free laminar incompressible fluid flow, in ...
Pavlo Lukianov, Lin Song
doaj   +1 more source

Evolutionary Mathematical Science, Fractional Modeling and Artificial Intelligence of Nonlinear Dynamics in Complex Systems

open access: yesChaos Theory and Applications, 2022
Complex problems in nonlinear dynamics foreground the critical support of artificial phenomena so that each domain of complex systems can generate applicable answers and solutions to the pressing challenges.
Dumitru Baleanu, Yeliz Karaca
doaj  

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