A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

By Fanhai Zeng, Fawang Liu, Changpin Li, Kevin Burrage, Ian L Turner, Vo Anh. SIAM Journal on Numerical Analysis, 2014

362 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5be9eaa1c8d81a068179358d0d63a325d470f94f

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In Applied Mathematics

1. Jie Shen
2. Zhiping Mao
3. Sheng Chen

In Modeling and Simulation

1. Jie Shen
2. Zhiping Mao
3. Sheng Chen

In Numerical Analysis

1. Jie Shen
2. Zhiping Mao
3. Sheng Chen

Citations in the corpus

• Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations (2016, methodology): “Indeed, spectral methods for some FDEs have been proposed in [11,12] where the well-posedness of some FDEs and their spectral approximations have been established; a Crank–Nicolson ADI Spectral method is presented in [26], a class of efficient spectral methods for solving multi-dimensional FDEs have”