NUMERICAL INVESTIGATION AND APPLICATION OF FRACTIONAL DYNAMICAL SYSTEMS
DOI10.1017/S000497271900114XzbMath1434.65254OpenAlexW2948363802WikidataQ126991161 ScholiaQ126991161MaRDI QIDQ5212973
Publication date: 31 January 2020
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s000497271900114x
finite element methodunstructured meshfluid modelsfractional diffusion equationcontrol volume methodstability and convergence analysisirregular convex domain
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fractional partial differential equations (35R11)
Cites Work
- A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients
- A novel finite volume method for the Riesz space distributed-order diffusion equation
- Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains
- An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains
- A novel finite volume method for the Riesz space distributed-order advection-diffusion equation
- Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains
- Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid
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