The Solutions of Legendre's and Chebyshev's Differential Equations by Using the Differential Transform Method. (19th April 2022)

• Record Type: Journal Article
• Authors: Alotaibi, A. M.; El-Moneam, M. A.; Badr, Badr S.
• Other Names: Pekař Libor Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2022(2022)
• Publication Date: 2022-04-19
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2022/8893695
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.