数值分析课程中融入分数阶微积分的探索

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摘  要：分数阶微积分是当前计算数学的研究热点之一，如何将这一科学研究融合到数值分析课程教学中，这个问题值得深入思考。文章首先介绍科教融合的背景，然后探讨数值分析课程教学中融入分数阶微积分科学研究问题的意义，最后通过具体的例子探讨其对人才培养的可行性。

关键词：分数阶微积分;数值分析;科教融合;人才培养

中图分类号：G640 文献标志码：A          文章编号：2096-000X（2022）04-0096-04

Abstract： Fractional calculus is one of the current research hotspots in computational mathematics. How to integrate this scientific research into the teaching of numerical analysis courses is worthy of in-depth consideration. In this paper， we firstly introduce the background of the integration of science and education， and then discuss the significance of integrating the scientific research of fractional calculus into the teaching of numerical analysis courses， and finally explore its feasibility for talent training through specific examples.

Keywords： fractional calculus; numerical analysis; integration of science and education; talent training

分数阶微积分近些年来受到了科学与工程领域的极大关注，是计算数学的研究热点之一。（剩余5969字）