Results 91 to 100 of about 18,385 (285)
Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations
, 2018 In this work, we apply stochastic collocation methods with radial kernel basis functions for an uncertainty quantification of the random incompressible two-phase Navier-Stokes equations.
Griebel, Michael +2 more
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo +2 more
wiley +1 more source
Nonlinear Engineering, 2019 In this paper, a novel method based on Bessel functions (BF), generalized Bessel functions (GBF), the collocation method and the Jacobian free Newton-Krylov sub-space (JFNK) will be introduced to solve the nonlinear time-fractional Burger equation.
Parand Kourosh, Nikarya Mehran
doaj +1 more source
Spectral methods in fluid dynamics [PDF]
Fundamental aspects of spectral methods are introduced. Recent developments in spectral methods are reviewed with an emphasis on collocation techniques.
Hussaini, M. Y., Zang, T. A.
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley +1 more source
A dramaturgy of uncertainty: Transdisciplinary manoeuvres across forestry and theatre
People and Nature, EarlyView.Abstract The uncertainties of climate change mean that forestry adaptation strategies are often complex and contested. Research has suggested that there is an interest in the forestry sector for facilitated dialogue about uncertainty (de Pellegrin Llorente et al., 2023).
Rachel Clive +4 more
wiley +1 more source
Chebyshev Spectral Collocation Method for Population Balance Equation in Crystallization
Mathematics, 2019 The population balance equation (PBE) is the main governing equation for modeling dynamic crystallization behavior. In the view of mathematics, PBE is a convection–reaction equation whose strong hyperbolic property may challenge numerical methods ...
Chunlei Ruan
doaj +1 more source
AIP Advances, 2018 Explicit solutions to delay differential equation (DDE) and stochastic delay differential equation (SDDE) can rarely be obtained, therefore numerical methods are adopted to solve these DDE and SDDE.
Sami Ullah Khan, Ishtiaq Ali
doaj +1 more source
Digitalising biodiversity: Exploring perceptions on risks and opportunities
PLANTS, PEOPLE, PLANET, EarlyView.Digitalisation is transforming biodiversity conservation, offering new opportunities for research, governance and public engagement. Herbarium digitisation, for example, enables large‐scale access to plant data, supporting conservation, restoration and sustainable use.
Björn‐Ola Linnér +9 more
wiley +1 more source
Jacobi rational–Gauss collocation method for Lane–Emden equations of astrophysical significance
Nonlinear Analysis, 2014 In this paper, a new spectral collocation method is applied to solve Lane–Emden equations on a semi-infinite domain. The method allows us to overcome difficulty in both the nonlinearity and the singularity inherent in such problems.
Eid H. Doha +3 more
doaj +1 more source