Results 101 to 110 of about 3,194 (297)
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
International Journal of Differential Equations, 2012 A numerical scheme is presented for a class of time fractional differential equations with Dirichlet's and Neumann's boundary conditions. The model solution is discretized in time and space with a spectral expansion of Lagrange interpolation polynomial ...
Fenghui Huang
doaj +1 more source
Space-time Legendre Spectral Collocation Methods
, 2017 Spectral methods solve elliptic PDEs numerically with errors bounded by an exponentially decaying function of the number of modes when the solution is analytic. For time dependent problems, almost all focus has been on low-order finite difference schemes
Lui, Shaun
core
The Unified Transform: A Spectral Collocation Method for Acoustic Scattering
, 2019 This paper employs the unified transform to present a boundary-based spectral collocation method suitable for solving acoustic scattering problems. The method is suitable for both interior and exterior scattering problems, and may be extended to three ...
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
Accelerate the Electrolyte Perturbed-Chain Statistical Associating Fluid Theory-Density Functional Theory Calculation With the Chebyshev Pseudo-Spectral Collocation Method. Part II. Spherical Geometry and Anderson Mixing. [PDF]
Front Chem, 2021 Sun Y +5 more
europepmc +1 more source
, 2020 Spectral methods can solve elliptic partial differential equations (PDEs) numerically with errors bounded by an exponentially decaying function of the number of modes when the solution is analytic.
Lui, S. H., Nataj, Sarah
core +1 more source
Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo +7 more
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
, 2018 In this paper we are looking forward to finding the approximate analytical solutions for fractional integro-differential equations by using Sumudu transform method and Hermite spectral collocation method.
A. M. S. Mahdy +2 more
core +1 more source