Unconditional optimal error bounds of the fast nonuniform Alikhanov scheme for a nonlinear time-fractional biharmonic equation
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s12190-024-02120-5.pdf
Reference29 articles.
1. Al-Maskari, M., Karaa, S.: The time-fractional Cahn-Hilliard equation: analysis and approximation. IMA J. Numer. Anal. 42(2), 1831–1865 (2022)
2. An, N., Zhao, G., Huang, C., Xijun, Yu.: $$\alpha $$-robust $$H^1$$-norm analysis of a finite element method for the superdiffusion equation with weak singularity solutions. Comput. Math. Appl. 118, 159–170 (2022)
3. Chen, H., Stynes, M.: Blow-up of error estimates in time-fractional initial-boundary value problems. IMA J. Numer. Anal. 41(2), 974–997 (2021)
4. Fu, H., Zhang, B., Zheng, X.: A high-order two-grid difference method for nonlinear time-fractional biharmonic problems and its unconditional $$\alpha $$-robust error estimates. J. Sci. Comput. 96(2), 54 (2023)
5. Hilfer, R. (ed.): Applications of fractional calculus in physics. World Scientific Publishing Co., Inc, River Edge, NJ (2000)
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