An explicit two-grid spectral deferred correction method for nonlinear fractional pantograph differential equations

被引：0

作者：

Li, Shan ^{[1
]}

Du, Cunxuan ^{[1
]}

Wang, Zhongqing ^{[1
]}

机构：

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

来源：

CALCOLO | 2024年 / 61卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Nonlinear fractional pantograph differential equations; Two-grid spectral deferred correction method; Error analysis; Numerical results; COLLOCATION METHOD;

D O I：

10.1007/s10092-024-00614-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose an explicit two-grid spectral deferred correction method for solving the nonlinear fractional pantograph differential equations. We design a partition including the global and local grids, which reduces the interaction between the subintervals caused by the delay term. We also analyze the numerical errors of the suggested approach for the prediction step and the correction step, respectively. Numerical experiments confirm the theoretical expectations.

引用

页数：26

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