The Solutions of Legendre's and Chebyshev's Differential Equations by Using the Differential Transform Method

被引：1
|
作者：
Alotaibi, A. M. [1 ]
El-Moneam, M. A. [2 ]
Badr, Badr S. [3 ]
机构：
[1] Univ Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia
[2] Jazan Univ, Fac Sci, Math Dept, Jazan, Saudi Arabia
[3] Tanta Univ, Fac Sci, Math Dept, Tanta, Egypt
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷
关键词：
BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1155/2022/8893695
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Chebyshev's and Legendre's differential equations' solutions are solved employing the differential transform method (DTM) and the power series method (PSM) in this study. This research shows that this method is efficient and effective in discovering Chebyshev's and Legendre's differential equation (DE) series solutions and that it can reduce calculation size when compared to other methods.
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页数：9
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