數(shù)值分析課程中融入分數(shù)階微積分的探索

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摘  要：分數(shù)階微積分是當前計算數(shù)學的研究熱點之一，如何將這一科學研究融合到數(shù)值分析課程教學中，這個問題值得深入思考。文章首先介紹科教融合的背景，然后探討數(shù)值分析課程教學中融入分數(shù)階微積分科學研究問題的意義，最后通過具體的例子探討其對人才培養(yǎng)的可行性。

關(guān)鍵詞：分數(shù)階微積分;數(shù)值分析;科教融合;人才培養(yǎng)

中圖分類號：G640 文獻標志碼：A          文章編號：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

分數(shù)階微積分近些年來受到了科學與工程領(lǐng)域的極大關(guān)注，是計算數(shù)學的研究熱點之一。（剩余5969字）