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

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Atıf İçin Kopyala

Muslu G. M., Erbay H. A.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.88, sa.4, ss.805-815, 2011 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 88 Sayı: 4
• Basım Tarihi: 2011
• Doi Numarası: 10.1080/00207161003768380
• Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.805-815
• İstanbul Teknik Üniversitesi Adresli: Evet

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.