A recursive numerical algorithm to computing Fourier series coefficients to find cylinder potential in electrodynamics

In this article, a new approach to find the Fourier expansion coefficients have been carried out by a recursive algorithm without computing their correspondent integral. Finally, in virtue of this new method, some Partial differential equations have been solved and compared with their exact solutions...

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Vydáno v:AUT Journal of Modeling and Simulation Ročník 52; číslo 2; s. 189 - 202
Hlavní autoři: mostafa ijavi, Mohamad Moradi
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amirkabir University of Technology 01.12.2020
Témata:
cylinder potential
electrodynamics
fourier series coefficient
numerical solution
recursive formula
taylor expansion
ISSN:2588-2953, 2588-2961
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Popis
Shrnutí:In this article, a new approach to find the Fourier expansion coefficients have been carried out by a recursive algorithm without computing their correspondent integral. Finally, in virtue of this new method, some Partial differential equations have been solved and compared with their exact solutions.After deriving the recursive relation, some differential equations have been solved with the partial differentiation and compared with the numerical answers in addition. The Fourier series coefficients were computed more accurate and fast in this method as compared to others then we calculate cylinder potential in electrodynamics by this method. The results show that the algorithm proposed in this paper  has achieved better results.
ISSN:2588-2953
2588-2961
DOI:10.22060/miscj.2020.12946.5193