Multi-term time fractional diffusion equations and novel parameter estimation techniques for chloride ions sub-diffusion in reinforced concrete
DOI10.1098/RSTA.2019.0538zbMath1462.65102OpenAlexW3021832072WikidataQ94598993 ScholiaQ94598993MaRDI QIDQ4994618
Xiaoli Wei, Ruige Chen, Fawang Liu, V. V. Anh
Publication date: 20 June 2021
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7287324
parameter estimationconcretefluid mechanicshydrologymaterials scienceapplied mathematicssub-diffusioncomputational chemistrytime-fractional derivativemulti-termchloride ionsenvironmental chemistry
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- On mean square displacement behaviors of anomalous diffusions with variable and random orders
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications
- Modeling and computing of fractional convection equation
- Some novel techniques of parameter estimation for dynamical models in biological systems
- Fractional differentiation matrices with applications
- A fractional calculus approach to the description of stress and strain localization in fractal media
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Multi-term time fractional diffusion equations and novel parameter estimation techniques for chloride ions sub-diffusion in reinforced concrete