Asymptotic numerical solver for the linear Klein–Gordon equation with space- and time-dependent mass. (May 2021)

• Record Type: Journal Article
• Authors: Condon, Marissa; Kropielnicka, Karolina; Lademann, Karolina; Perczyński, Rafał
• Is Part Of: Applied mathematics letters. Volume 115(2021)
• Publication Date: 2021-05
• Subjects: Klein–Gordon equation -- Modified Fourier series -- Asymptotic numerical approximation; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106935
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: We are concerned with numerical approximation of the linear Klein–Gordon equation with time- and space-dependent mass. We propose an asymptotic-numerical approach as a powerful tool in the presence of very high-frequency oscillations. As we shall show, the proposed method achieves high accuracy with a very low computational cost. A numerical example and comparisons are presented to confirm the efficiency of the approach.