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

被引：3

作者：

Guo, Yu-ling ^{[1
]}

Wang, Zhong-qing ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2022年 / 92卷 / 03期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Multi-order fractional differential equations; Two-grid spectral deferred correction method; Error analysis; COLLOCATION METHOD; CONVERGENCE; CHOICE;

D O I：

10.1007/s10915-022-01942-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：18

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