The Solutions of Legendre’s and Chebyshev’s Differential Equations by Using the Differential Transform Method | Zendy

Abeer M. Alotaibi | Zendy; M. A. El-Moneam | Zendy; Badr S. Badr | Zendy

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

Author(s) -

Abeer M. Alotaibi,

M. A. El-Moneam,

Badr S. Badr

Publication year - 2022

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2022/8893695

Subject(s) - legendre polynomials , mathematics , chebyshev pseudospectral method , chebyshev filter , chebyshev equation , differential equation , differential (mechanical device) , mathematical analysis , chebyshev iteration , chebyshev polynomials , physics , classical orthogonal polynomials , orthogonal polynomials , thermodynamics

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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