An H1 convergence of the spectral method for the time-fractional non-linear diffusion equations

The generalized discrete Gronwall inequality is applied to analyze the optimal H 1 error estimate of the time-stepping spectral method for the time-fractional diffusion equations, where the time-fractional derivative is discretized by the second-order fractional backward difference formula or the se...

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Veröffentlicht in:	Advances in computational mathematics 2021-10, Vol.47 (5), Article 63
Hauptverfasser:	Zhang, Hui, Jiang, Xiaoyun, Zeng, Fanhai
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational mathematics Computational Mathematics and Numerical Analysis Computational Science and Engineering Differential equations Error analysis Formulas (mathematics) Mathematical analysis Mathematical and Computational Biology Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Spectra Spectral methods Visualization
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