Space–time spectral collocation method for Klein–Gordon equation. (December 2021)

• Record Type: Journal Article
• Authors: Zhang, Ping; Li, Te; Zhang, Yuan-Hao
• Is Part Of: Journal of algorithms & computational technology. Volume 15(2021)
• Publication Date: 2021-12
• Subjects: Lagrange interpolation approximation -- space–time spectral collocation method -- mixed problem of Klein–Gordon equation -- unbounded domain -- Newton iterative; Computer algorithms -- Periodicals; Numerical calculations -- Periodicals; Computer algorithms; Numerical calculations; Periodicals; 518.1
• DOI: 10.1177/17483026211065385
• Languages: English
• ISSNs: 1748-3018

Abstract

By using the Legendre–Laguerre collocation method, we can construct a spectral collocation scheme to solve the Klein–Gordon equation on the half-line. The Laguerre function collocation method (based on the Lagrange interpolation) in space and the Legendre–Gauss–Lobatto collocation method in time are used. A Newton iterative algorithm is provided. The numerical results demonstrate the high efficiency and accuracy of suggested algorithms.