Open AccessLegendre Spectral Method for the 1-D Maxwell Equation
Author(s) -
Ying Fu,
Heping Ma
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1739/1/012046
Subject(s) - legendre polynomials , discretization , mathematics , scheme (mathematics) , computation , legendre's equation , basis function , interval (graph theory) , legendre wavelet , legendre function , spectral method , space (punctuation) , mathematical analysis , basis (linear algebra) , maxwell's equations , algorithm , computer science , geometry , discrete wavelet transform , wavelet transform , combinatorics , artificial intelligence , wavelet , operating system
A time and space Legendre spectral method is established for the 1-D Maxwell equation, that is, both the time and the space are discretized by the Legendre-tau method. The specific scheme of the method and the implementation process of the algorithm are given. Also, the time multi-interval method is considered and the specific scheme is given.By taking appropriate basis functions, the unknown functions can be decoupled in computation. Numerical results show that the two methods are efficient.