A Two-Grid Spectral Deferred Correction Method for the Multi-Order Fractional Differential Equations

In this paper, we propose a two-grid spectral deferred correction method for the multi-order fractional differential equation. The error analysis of the proposed method is conducted for the prediction step and the correction step, respectively. Numerical experiments are included to illustrate the th...

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Veröffentlicht in:	Journal of scientific computing 2022-09, Vol.92 (3), p.78, Article 78
Hauptverfasser:	Guo, Yu-ling, Wang, Zhong-qing
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Computational Mathematics and Numerical Analysis Differential equations Error analysis Error correction Fractional calculus Inequality Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Numerical analysis Ordinary differential equations Partial differential equations Theoretical
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Zusammenfassung:	In this paper, we propose a two-grid spectral deferred correction method for the multi-order fractional differential equation. The error analysis of the proposed method is conducted for the prediction step and the correction step, respectively. Numerical experiments are included to illustrate the theoretical results.
ISSN:	0885-7474 1573-7691
DOI:	10.1007/s10915-022-01942-4