A general conservative eighth-order compact finite difference scheme for the coupled Schrödinger-KdV equations

Autor: Jiadong Qiu, Danfu Han, Hao Zhou
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 5, Pp 10596-10618 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023538?viewType=HTML
Popis: In this paper, we present a general conservative eighth-order compact finite difference scheme for solving the coupled Schrödinger-KdV equations numerically. The proposed scheme is decoupled and preserves several physical invariants in discrete sense. The matrices obtained in the eighth-order compact scheme are all circulant symmetric positive definite so that it can be used to solve other similar equations. Numerical experiments on model problems show the better performance of the scheme compared with other numerical schemes.
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