非线性分数受电微分方程的显式双网格光谱延迟修正法

IF 1.4 2区数学 Q1 MATHEMATICS

Calcolo Pub Date : 2024-09-16 DOI:10.1007/s10092-024-00614-z

Shan Li, Cunxuan Du, Zhongqing Wang

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引用次数: 0

摘要

本文提出了一种用于求解非线性分数受电弓微分方程的显式双网格光谱延迟修正方法。我们设计了一个包括全局网格和局部网格的分区，从而减少了延迟项引起的子区间之间的相互作用。我们还分别分析了建议方法在预测步骤和修正步骤中的数值误差。数值实验证实了理论预期。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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

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.

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来源期刊

Calcolo 数学-数学

CiteScore

2.40

自引率

11.80%

发文量

审稿时长

>12 weeks

期刊介绍： Calcolo is a quarterly of the Italian National Research Council, under the direction of the Institute for Informatics and Telematics in Pisa. Calcolo publishes original contributions in English on Numerical Analysis and its Applications, and on the Theory of Computation. The main focus of the journal is on Numerical Linear Algebra, Approximation Theory and its Applications, Numerical Solution of Differential and Integral Equations, Computational Complexity, Algorithmics, Mathematical Aspects of Computer Science, Optimization Theory. Expository papers will also appear from time to time as an introduction to emerging topics in one of the above mentioned fields. There will be a "Report" section, with abstracts of PhD Theses, news and reports from conferences and book reviews. All submissions will be carefully refereed.