卡普托分数阶微分方程的欧拉方法

IF 0.5 Q3 MATHEMATICS
P. Tomášek
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引用次数: 0

摘要

. 分数阶微分方程的数值方法与常微分方程的数值方法相比具有特殊的性质。本文讨论了求解Caputo微分方程初值问题的欧拉方法。并通过数值实验说明了这些方法的共同特性。研究人员可以使用Python代码进行数值模拟。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On Euler methods for Caputo fractional differential equations
. Numerical methods for fractional differential equations have specific properties with respect to the ones for ordinary differential equations. The paper discusses Euler methods for Caputo differential equation initial value problem. The common properties of the methods are stated and demonstrated by several numerical experiments. Python codes are available to researchers for numerical simulations.
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来源期刊
Archivum Mathematicum
Archivum Mathematicum MATHEMATICS-
CiteScore
0.70
自引率
16.70%
发文量
0
审稿时长
35 weeks
期刊介绍: Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.
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