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Invariant Characterization of Scalar Second‐Order ODEs That Admit Three Point Symmetry Lie Algebra via Cartan's Equivalence Method

Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 435-444, 15 January 2026.
ABSTRACT Cartan's equivalence method is applied to explicitly construct three‐dimensional invariant coframes for three branches, which are used to characterize scalar second‐order ODEs with a three‐point symmetry Lie algebra. Additionally, we present a method for constructing the point transformation based on the derived invariant coframes.
Ahmad Y. Al‐Dweik, Marwan Aloqeili, Omar A. Abuloha, Batoul M. Raddad, Sondos R. Khalil, F. M. Mahomed   +5 more
wiley   +1 more source

Exponentially fitted Runge-Kutta methods [PDF]

, 2000
De Meyer, Hans, Van Daele, Marnix, Van Hecke, Tanja, Vanden Berghe, Guido   +3 more
core   +2 more sources

Artificial neural network paradigm of magneto-thermal behavior in tangent hyperbolic hybrid-nanofluid flow. [PDF]

Sci Rep
Athar T, Qureshi H, Muhammad T.
europepmc   +1 more source

High-order expansion of neural ordinary differential equation flows. [PDF]

Sci Adv
Izzo D, Origer S, Acciarini G, Biscani F.   +3 more
europepmc   +1 more source

Integrating Kolmogorov-Arnold networks with ordinary differential equations for efficient, interpretable, and robust deep learning: Epidemiology of infectious diseases as a case study. [PDF]

Infect Dis Model
Ma K, Lu X, Bragazzi NL, Selzer D, Lehr T, Tang B.   +5 more
europepmc   +1 more source

Optimizing entropy generation in MHD Maxwell dusty nanofluid flow via nanoparticle radius and inter-particle spacing on an inclined stretching sheet. [PDF]

Sci Rep
Awan AU, Niazai S, Hussain M, Ali B, Ahammad NA, Gamaoun F, Nadeem S.   +6 more
europepmc   +1 more source

Delayed Signaling in Mitotic Checkpoints: Biological Mechanisms and Modeling Perspectives. [PDF]

Biology (Basel)
Ibrahim B.
europepmc   +1 more source

Machine Learning Investigation of Ternary-Hybrid Radiative Nanofluid over Stretching and Porous Sheet. [PDF]

Nanomaterials (Basel)
Qureshi H, Zubair M, Altmeyer SA.
europepmc   +1 more source

ANN-based thermal analysis of 3D MHD hybrid nanofluid flow over a shrinking sheet via LMA. [PDF]

Sci Rep
Imran M, Saeed ST, Younis J, Kebaili I, Boukhris I, Mir A.   +5 more
europepmc   +1 more source

Advanced study of wavy dynamical behavior of suspended living organisms in generalized nanomaterials with magnetic and buoyancy effects. [PDF]

Sci Rep
Ahmad L, Javed S, Zeb B, Khan U, Khashi'ie NS, Elattar S, Holali HO.   +6 more
europepmc   +1 more source