Approximate solutions to fractional differential equations

被引：3
|
作者：
Liu, Yue [1 ,2 ,3 ]
Zhao, Zhen [4 ]
Zhang, Yanni [5 ]
Pang, Jing [1 ,3 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China
[2] Hetao Coll, Dept Math & Comp Sci, Bayannur 015000, Inner Mongolia, Peoples R China
[3] Neural Network Modeling, Inner Mongolia Key Lab Stat Anal Theory Life Data, Hohhot 010051, Peoples R China
[4] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Zhejiang, Peoples R China
[5] Liaoning Univ Technol, Coll Sci, Jinzhou 121001, Liaoning, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2023年 / 44卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Caputo fractional derivative; coupled viscous Burgers' equation (CVBE); Drinfeld-Sokolov-Wilson equation (DSWE); Sawi transform; homotopy perturbation method (HPM); O193; DRINFELD-SOKOLOV-WILSON; HOMOTOPY PERTURBATION METHOD; COUPLED BURGERS EQUATIONS; TIME;
D O I：
10.1007/s10483-023-3041-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 alpha takes different values, the properties of the equations are given as a conclusion.
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页码：1791 / 1802
页数：12
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