A second-order accurate numerical approximation for the fractional diffusion equation
By Charles Tadjeran, Mark M. Meerschaert, Hans-Peter Scheffler. Journal of Computational Physics, 2006
602 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/bc1ad01013e9fbfaa4bd7ed74844812f3ed66c46
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Fawang Liu
- Ian L Turner
- Vo Anh
- Pinghui Zhuang
- Mark M. Meerschaert
- Charles Tadjeran
- Weihua Deng
- Lijing Zhao
In Modeling and Simulation
- Fawang Liu
- Ian L Turner
- Vo Anh
- Mark M. Meerschaert
- Charles Tadjeran
- Pinghui Zhuang
- Weihua Deng
- Changpin Li
In Numerical Analysis
- Fawang Liu
- Ian L Turner
- Vo Anh
- Pinghui Zhuang
- Mark M. Meerschaert
- Weihua Deng
- Charles Tadjeran
- Changpin Li
Citations in the corpus
- Fractional advection‐dispersion equations for modeling transport at the Earth surface (2009, background): “The finite difference formula (3) is also the basis for numerical codes to solve the fractional ADE [Tadjeran et al., 2006].”
- TEMPERED FRACTIONAL CALCULUS (2015, methodology): “A wide variety of effective numerical methods have been developed to solve fractional diffusion equations, see for example [18,21,32–34,56,64,68].”
- Asymptotics for Exponential Levy Processes and Their Volatility Smile: Survey and New Results (2012, neutral): “, [92], [38], [115].”
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term (2009, methodology): “Thus, the extrapolation method may be used to obtain a solution with convergence order O(τ(2) + h(2)) (see [9, 23]).”