分数阶微分方程的近似解

IF 4.5 2区工程技术 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-09-30 DOI:10.1007/s10483-023-3041-9

Yue Liu, Zhen Zhao, Yanni Zhang, Jing Pang

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引用次数: 0

摘要

本文用Sawi变换耦合的同位微扰方法求解了时间分数阶耦合粘性Burgers方程（CVBE）和Drinfeld-Sokolov-Wilson方程（DSWE）。得到了这两个方程的近似级数解。同时，分析了本文给出的近似解与文献给出的精确解之间的绝对误差。通过比较分数阶α取不同值时函数的图，得出了方程的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Approximate solutions to fractional differential equations

In this paper, the time-fractional coupled viscous Burgers’ equation (CVBE) and Drinfeld-Sokolov-Wilson equation (DSWE) are solved by the Sawi transform coupled homotopy perturbation method (HPM). The approximate series solutions to these two equations are obtained. Meanwhile, the absolute error between the approximate solution given in this paper and the exact solution given in the literature is analyzed. By comparison of the graphs of the function when the fractional order α takes different values, the properties of the equations are given as a conclusion.

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来源期刊

Applied Mathematics and Mechanics-English Edition 数学-力学

CiteScore

6.70

自引率

9.10%

发文量

106

审稿时长

2.0 months

期刊介绍： Applied Mathematics and Mechanics is the English version of a journal on applied mathematics and mechanics published in the People''s Republic of China. Our Editorial Committee, headed by Professor Chien Weizang, Ph.D., President of Shanghai University, consists of scientists in the fields of applied mathematics and mechanics from all over China. Founded by Professor Chien Weizang in 1980, Applied Mathematics and Mechanics became a bimonthly in 1981 and then a monthly in 1985. It is a comprehensive journal presenting original research papers on mechanics, mathematical methods and modeling in mechanics as well as applied mathematics relevant to neoteric mechanics.