Exponential time differencing schemes for the 3-coupled nonlinear fractional Schrödinger equation

Autor:	Harish P. Bhatt, Xiao Liang
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	010103 numerical & computational mathematics Nonlinear Schrödinger equations 01 natural sciences Schrödinger equation Fractional Laplacian symbols.namesake Applied mathematics 0101 mathematics Spectral method Exponential time differencing Space-fractional Mathematics Algebra and Number Theory Partial differential equation Applied Mathematics Numerical analysis lcsh:Mathematics lcsh:QA1-939 Exponential function 010101 applied mathematics Nonlinear system Fourier transform Ordinary differential equation symbols Analysis
Zdroj:	Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-17 (2018)
ISSN:	1687-1847
DOI:	10.1186/s13662-018-1936-9
Popis:	Two modified exponential time differencing schemes based on the Fourier spectral method are developed to solve the 3-coupled nonlinear fractional Schrödinger equation. We compare the stability of the schemes by plotting their stability regions. The local truncation errors of the time integrators are proved to be fourth-order. Numerical experiments illustrating the solution to the equations with various parameters and the mass conservation results of the numerical methods are carried out.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a63eccd65a38640f644a67ad2462167 http://link.springer.com/article/10.1186/s13662-018-1936-9 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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