Numerical approximation of a fractional-in-space diffusion equation (II) - with nonhomogeneous boundary conditions

By Milos Ilic, Fawang Liu, Ian L Turner, Vo Anh. 2006

274 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/1b560341f88dfd079f8af9ebdc25eab05af30a74

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Pinghui Zhuang
2. Vo Anh
3. Alfonso Bueno-Orovio
4. David A. Kay
5. Fawang Liu
6. Fanhai Zeng
7. Ian L Turner
8. Ali H. Bhrawy

Citations in the corpus

• Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term (2009, methodology): “We consequently adopt the following approximation [8]: −(−Δ)α2 y ≈ − 1 hα A α 2 y, (6.”
• Fourier spectral methods for fractional-in-space reaction-diffusion equations (2014, methodology): “Spectral decomposition plays a central role in the interpretation of the fractional Laplacian – see [15] and [20].”
• Numerical Approximation of Fractional Powers of Regularly Accretive Operators (2015, unknown): “In this case, S h f for f ∈ Vh can be expressed in terms of the discrete eigenvector expansion [29, 28, 46]: S h f = ∑”