On positivity preservation in nonlinear finite volume method for multi-term fractional subdiffusion equation on polygonal meshes
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4077-5
Abstract: The positivity preserving is one of the key requirements to discrete schemes for subdiffusion equation. The main goal of our research is to explore a spatial second-order nonlinear finite volume (FV) method solving the multi-term… read more here.
Keywords: positivity; subdiffusion equation; equation; nonlinear finite ... See more keywords
Galerkin finite element approximation of a stochastic semilinear fractional subdiffusion with fractionally integrated additive noise
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DOI: 10.1093/imanum/drab035
Abstract: A Galerkin finite element method is applied to approximate the solution of a semilinear stochastic space and time fractional subdiffusion problem with the Caputo fractional derivative of the order $ \alpha \in (0, 1)$, driven… read more here.
Keywords: fractionally integrated; fractional subdiffusion; galerkin finite; finite element ... See more keywords
Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation
Sign Up to like & getrecommendations! Published in 2018 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2018-0057
Abstract: Abstract In this article, we propose an implicit-explicit scheme combining with the fast solver in space to solve two-dimensional nonlinear time-fractional subdiffusion equation. The applications of implicit-explicit scheme and fast solver will smartly enhance the… read more here.
Keywords: time fractional; two dimensional; subdiffusion; dimensional nonlinear ... See more keywords