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A space-time spectral method for solving the nonlinear Klein-Gordon equation.
- Source :
-
Applied Numerical Mathematics . Aug2023, Vol. 190, p110-137. 28p. - Publication Year :
- 2023
-
Abstract
- A space-time spectral method for the nonlinear Klein-Gordon equation is proposed. We use the Legendre-Galerkin method in space and Legendre-Petrov-Galerkin method in time. The nonlinear term in the equation is dealt with the Chebyshev spectral collocation method. The scheme results in a simple algebraic system by choosing appropriate basis functions. The stability and the optimal error estimates in L 2 -norm for the single and multiple interval methods are given. Numerical experiments are shown confirming the theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *KLEIN-Gordon equation
*NONLINEAR equations
*SPACETIME
*COLLOCATION methods
Subjects
Details
- Language :
- English
- ISSN :
- 01689274
- Volume :
- 190
- Database :
- Academic Search Index
- Journal :
- Applied Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 163946692
- Full Text :
- https://doi.org/10.1016/j.apnum.2023.04.018