Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
By Pinghui Zhuang, Fawang Liu, Vo Anh, Ian L Turner. SIAM Journal on Numerical Analysis, 2009
561 citations recorded by the source corpus.
Subfields: Biomedical Engineering, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/672a8b4e9bf5eee38d6bee48d88d82e92bfe8c55
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In Biomedical Engineering
In Modeling and Simulation
In Numerical Analysis
Citations in the corpus
- Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation (2014, methodology): “Another important definitions of the variable-order derivative operators based on Caputo’s differential operator are proposed in [26,38].”
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications (2019, methodology): “approximation to the space fractional derivative terms D α(x,t) a+ u(x, t) and D α(x,t) b− u(x, t) may be defined from the standard Grünwald-Letnikov formula [139]”
- A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures (2012, unknown): “The numerical discretizition schemes are briefly introduced in Appendix, and for more details please refer to[30],[43] and [31].”