Results 71 to 80 of about 38,753 (164)

Symmetry, Conserved Charges, and Lax Representations of Nonlinear Field Equations: A Unified Approach [PDF]

, 2010
A certain non-Noetherian connection between symmetry and integrability properties of nonlinear field equations in conservation-law form is studied.
Papachristou, C. J.
core  

A novel hybrid framework for efficient higher order ODE solvers using neural networks and block methods

Scientific Reports
In this paper, the author introduces the Neural-ODE Hybrid Block Method, which serves as a direct solution for solving higher-order ODEs. Many single and multi-step methods employed in numerical approximations lose their stability when applied in the ...
V. Murugesh, M. Priyadharshini, Yogesh Kumar Sharma, Umesh Kumar Lilhore, Roobaea Alroobaea, Hamed Alsufyani, Abdullah M. Baqasah, Sarita Simaiya   +7 more
doaj   +1 more source

Towards the KPP--Problem and log t-Front Shift for Higher-Order Nonlinear PDEs III. Dispersion and Hyperbolic Equations

, 2012
25 pages, 19 ...
openaire   +2 more sources

Second order slip micropolar MHD hybrid nanofluid flow over a stretching surface with uniform heat source and activation energy: Numerical computational approach

Results in Engineering
Applications: Micropolar fluids are extensively used in lubrication, polymer processing, and heat transfer applications to enhance performance in systems with suspended microstructures.
Syed Arshad Abas, Hakeem Ullah, Mehreen Fiza, Ali Akgul, Aasim Ullah Jan, Magda Abd El-Rahman, Seham M. Al-Mekhlafi   +6 more
doaj   +1 more source

Towards the KPP--Problem and Log-Front Shift for Higher-Order Nonlinear PDEs I. Bi-Harmonic and Other Parabolic Equations

, 2012
Some extensions of the KPP idelogy of 1937 and more recent results to higher-order semilinear parabolic equations are ...
openaire   +2 more sources

Towards the KPP-Problem and log t-Front shift for Higher-Order Nonlinear PDEs II. Quasilinear Bi- and Tri-Harmonic Equations

, 2012
It is shows that some aspects of classic KPP-problem (1937) can be extended to some fourth and sixth-order quasilinear parabolic equations.
openaire   +2 more sources

Accurate macroscale modelling of spatial dynamics in multiple dimensions

, 2012
Developments in dynamical systems theory provides new support for the macroscale modelling of pdes and other microscale systems such as Lattice Boltzmann, Monte Carlo or Molecular Dynamics simulators.
Bunder, J. E., MacKenzie, Tony, Roberts, A. J.   +2 more
core  

Mixed Convection and Permeability Effects on Magnetohydrodynamic Williamson Fluid Flow Over an Inclined Stretchy Surface With Radiation Influence: Analytical Investigation

Engineering Reports
The study introduces a computational method that combines Legendre polynomials with Gauss–Lobatto points to solve nonlinear coupled differential equations, focusing on the Williamson fluid model under the influence of mixed convection and permeability ...
R. A. Oderinu, T. A. Oyeyinka, S. Alao, F. J. Ayanbukola, B. A. Sanusi   +4 more
doaj   +1 more source

Chemically reactive squeezed flow of magnetized Al2O3−PAO nanolubricant over a sensor surface with thermophoretic particle deposition

Case Studies in Thermal Engineering
The exceptional lubricating properties and stability of Al2O3−PAO nanolubricant make it a suitable option for many industries such as automotive, aerospace, renewable energy, and medical.
Muhammad Riaz, Nargis Khan, M.S. Hashmi, Zabidin Salleh, Mustafa Inc   +4 more
doaj   +1 more source

Comparative approach of Darcy–Forchheimer flow on water based hybrid nanofluid (Cu-Al2O3) and mono nanofluid (Cu) over a stretched surface with injection/suction

Partial Differential Equations in Applied Mathematics
The hybrid nanofluids are crucial for enhancing heat transfer efficiency in different technological and industrial operations like nuclear reactor cooling, fuel cells, drug delivery systems, etc. Taking this factor into account, the current investigation
R. Sindhu, S. Eswaramoorthi, K. Loganathan, Reema Jain   +3 more
doaj   +1 more source