Results 141 to 150 of about 2,638 (189)

The Dynamical Landscape of the Negative‐Order (3+1)‐Dimensional Calogero–Bogoyavlenskii–Schiff Equation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A new negative‐order form of the (3 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical engineering applications.
Ulviye Demirbilek, Jan Muhammad, Arzu Akbulut, Usman Younas, Taha Radwan, Karim K. Ahmed, Dimitri Mugnai   +6 more
wiley   +1 more source

Exact Solitary Wave Solutions in Nonlinear Carbon Nanotube Composite Beams on Viscoelastic Foundations Under M‐Truncated Derivative

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, the nonlinear partial differential equation that governs the free vibration of a carbon nanotube composite beam is analytically investigated using the truncated M‐fractional derivative. This model is a beam supported by a nonlinear viscoelastic base and reinforced by carbon nanotubes.
Nadia Javed, Nauman Ahmed, Muhammad Zafarullah Baber, Tukur Abdulkadir Sulaiman, Taha Radwan, Abeer S. Khalifa, Karim K. Ahmed, Dimitri Mugnai   +7 more
wiley   +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

Physics‐Informed Graph Neural Networks to Reconstruct Local Fields Considering Finite Strain Hyperelasticity

International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT We propose a physics‐informed machine learning framework called P‐DivGNN to reconstruct local stress fields at the micro‐scale, in the context of multi‐scale simulation, given a periodic micro‐structure mesh and mean, macro‐scale, stress values. This method is based on representing a periodic micro‐structure as a graph, combined with a message
Manuel Ricardo Guevara Garban, Yves Chemisky, Michaël Clément, Étienne Pruliére   +3 more
wiley   +1 more source

Reliable numerical scheme for coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise. [PDF]

Sci Rep
Baber MZ, Ahmed N, Yasin MW, Iqbal MS, Akgül A, Hassani MK, Jawaz M.   +6 more
europepmc   +1 more source

An Optimized Block Hybrid Spectral Simple Iteration Methods for Solving Nonlinear Evolution Equations

International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT This study presents a new optimized block hybrid method and spectral simple iteration method (OBHM‐SSIM) for solving nonlinear evolution equations. In this method, we employed a combination of the spectral collocation method in space and the optimized block hybrid method in time, along with a simple iteration scheme to linearize the equations.
Salma Ahmedai, Precious Sibanda, Sandile Motsa, Sicelo Goqo, Osman A. I. Noreldin   +4 more
wiley   +1 more source

Inference of weak-form partial differential equations describing migration and proliferation mechanisms in wound healing experiments on cancer cells. [PDF]

PLoS Comput Biol
Srivastava S, Kinnunen PC, Wang Z, Ho KKY, Humphries BA, Chen S, Linderman JJ, Luker GD, Luker KE, Garikipati K.   +9 more
europepmc   +1 more source

Learning structured population models from data with WSINDy. [PDF]

PLoS Comput Biol
Lyons R, Dukic V, Bortz DM.
europepmc   +1 more source

Wave modelling of 3 + 1 dimensional Wazwaz Kaur Boussinesq equation with the bilinear neural network method. [PDF]

Sci Rep
Shahen NHM, Al Amin M, Uddin MM, Foyjonnesa, Rahman MM.   +4 more
europepmc   +1 more source

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