Numerical simulation of blow-up solutions for the generalized Davey-Stewartson system


Muslu G. M. , Erbay H. A.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.88, ss.805-815, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 88 Konu: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1080/00207161003768380
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Sayfa Sayıları: ss.805-815

Özet

Blow-up solutions for the generalized Davey-Stewartson system are studied numerically by using a split-step Fourier method. The numerical method has spectral-order accuracy in space and first-order accuracy in time. To evaluate the ability of the split-step Fourier method to detect blow-up, numerical simulations are conducted for several test problems, and the numerical results are compared with the analytical results available in the literature. Good agreement between the numerical and analytical results is observed.