Smooth subgrid fields underpin rigorous closure in spatial discretisation of reaction–advection–diffusion PDEs
Sign Up to like & getrecommendations! Published in 2018 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.05.011
Abstract: Finite difference/element/volume methods of discretising PDEs impose a subgrid scale interpolation on the dynamics. In contrast, the holistic discretisation approach developed herein constructs a natural subgrid scale field adapted to the whole system out-of-equilibrium dynamics.… read more here.
Keywords: diffusion pdes; closure; advection diffusion; reaction advection ... See more keywords
A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation
Sign Up to like & getrecommendations! Published in 2021 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2021.03.006
Abstract: Abstract In this paper, the variable order fractional derivative in the Heydari-Hosseininia sense is employed to define a new fractional version of 2D reaction-advection-diffusion equation. An efficient and accurate hybrid method based on the shifted… read more here.
Keywords: variable order; advection diffusion; reaction advection; equation ... See more keywords
Delay-Adaptive Predictor Feedback Control of Reaction–Advection–Diffusion PDEs With a Delayed Distributed Input
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3109512
Abstract: We consider a system of reaction–advection–diffusion partial differential equation (PDE) with a distributed input subject to an unknown and arbitrarily large time delay. Using Lyapunov technique, we derive a delay-adaptive predictor feedback controller to ensure… read more here.
Keywords: advection diffusion; adaptive predictor; delay adaptive; distributed input ... See more keywords