An H1 convergence of the spectral method for the time-fractional non-linear diffusion equations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s10444-021-09892-5.pdf
Reference49 articles.
1. Adams, R.A., Fournier, J.J.F.: Sobolev Spaces. Elsevier/Academic Press, Amsterdam (2003)
2. Al-Maskari, M., Karaa, S.: Numerical approximation of semilinear subdiffusion equations with nonsmooth initial data. SIAM J. Numer. Anal. 57(3), 1524–1544 (2019)
3. Alikhanov, A.A.: A new difference scheme for the time fractional diffusion equation. J. Comput. Phys. 280, 424–438 (2015)
4. Baffet, D., Hesthaven, J.S.: A kernel compression scheme for fractional differential equations. SIAM J. Numer. Anal. 55(2), 496–520 (2017)
5. Banjai, L., López-Fernández, M.: Efficient high order algorithms for fractional integrals and fractional differential equations. Numer. Math. 141(2), 289–317 (2019)
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