A finite element method for time fractional partial differential equations

By Neville J. Ford, Jingyu Xiao, Yubin Yan. 2011

232 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/dd7fa4aa219fed8739d0c2dcbd28bcc2b8d2ea93

How researchers see this paper

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

In Mechanics of Materials

1. Changpin Li
2. Fawang Liu
3. Ian L Turner
4. Fanhai Zeng
5. Minhao Cai
6. Bartłlomiej Dyda

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

• The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation (2013, methodology): “1), while numerical methods with (2− β)-order accuracy can be found in several papers; see, for instance, [17, 20, 21, 28].”
• An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data (2017, unknown): “, [9], [11], [15], [16], [17], [24], [51].”
• Time two-mesh algorithm combined with finite element method for time fractional water wave model (2018, unknown): “In view of the difficulty for solving the analytic solutions, increasing scholars have started to study some effective numerical methods for solving complex FPDEs with time, space and space-time fractional derivatives, which include finite difference methods [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1”