Results 91 to 100 of about 1,769 (302)
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 spectral collocation method for nonlocal diffusion equations
, 2018 12 pages, 2 ...
Tian, Hao, Zhang, Jing
openaire +2 more sources
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
A comparison study of Chebyshev spectral collocation based methods for solving nonlinear second order evolution equations. [PDF]
, 2015 Master of Science in Applied Mathematics. University of KwaZulu-Natal, Pietermaritzburg 2015.In this study Spectral Quasilinearisation Method (SQLM) coupled with finite differ- ence and Bivariate Spectral Quasilinearisation Method (BSQLM) in solving ...
Kheswa, Khayelihle Allen.
core
Preconditioned Chebyshev Collocation Methods and Triangular Finite-elements
, 1994 This paper analyzes triangular finite elements for the preconditioning of Chebyshev collocation solutions of elliptic boundary value problems.
Vankemenade, V. +6 more
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
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
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
MathematicsThis paper develops a robust numerical scheme based on a frame collocation method for solving multi-term fractional ordinary differential equations (FODEs) whose solutions exhibit multiple singularities at the origin.
Han Fu, Tinggang Zhao, Benxue Gong
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