Numerical study of blow-up to the purely elliptic generalized Davey–Stewartson system

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Blow-up solutions for the purely elliptic generalized Davey–Stewartson system are studied by using a relaxation numerical method. The numerical method is based on an implicit finite-difference scheme with a second-order accuracy in both time and space. The stability of the numerical method is analyzed by investigating the linear stability of plane wave solutions. To evaluate the ability of the relaxation method to detect blow-up, numerical simulations are conducted for several test problems. A particular attention is paid to the gap interval neither a global existence nor a blow-up result is established. The monotonicity properties of blow-up time on the coupling parameter are also investigated numerically.

Original languageEnglish
Pages (from-to)331-342
Number of pages12
JournalJournal of Computational and Applied Mathematics
Volume317
DOIs
Publication statusPublished - 1 Jun 2017

Bibliographical note

Publisher Copyright:
© 2016 Elsevier B.V.

Keywords

  • Blow-up
  • Generalized Davey–Stewartson system
  • Global existence
  • Plane wave stability
  • Relaxation method

Fingerprint

Dive into the research topics of 'Numerical study of blow-up to the purely elliptic generalized Davey–Stewartson system'. Together they form a unique fingerprint.

Cite this