A compact finite difference scheme for the fractional sub-diffusion equations

By Guang‐hua Gao, Zhi‐zhong Sun. Journal of Computational Physics, 2011

415 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/1d17690203187c360c75ee93fe60a8a574520241

How researchers see this paper

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

In Modeling and Simulation

1. Changpin Li
2. Ian L Turner
3. Fawang Liu
4. Fanhai Zeng
5. Minhao Cai
6. Vo Anh
7. Weihua Deng
8. Mehdi Dehghan

In Numerical Analysis

1. Changpin Li
2. Ian L Turner
3. Fawang Liu
4. Fanhai Zeng
5. Minhao Cai
6. Vo Anh
7. Mehdi Dehghan
8. Pinghui Zhuang

Citations in the corpus

• Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations (2015, neutral): “That is, there exist positive real numbers s i and w where N exp is given by (1.2).”
• The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation (2013, methodology): “Comparisons are made between the derived algorithms in this paper and existing algorithms [17, 20, 21, 47, 57, 60], which show that our algorithms are much better than the existing ones in the numerical experiments.”
• Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation (2013, neutral): “1 ([30]) Denote ζ(s) = (1−s)3[5−3(1−s)2].”