Numerical solution of a coupled modified Korteweg-de Vries equation by the Galerkin method using quadratic B-splines

KUTLUAY, SELÇUK; UÇAR, YUSUF

doi:10.1080/00207160.2013.775425

Numerical solution of a coupled modified Korteweg-de Vries equation by the Galerkin method using quadratic B-splines

Atıf İçin Kopyala

KUTLUAY S., UÇAR Y.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.90, sa.11, ss.2353-2371, 2013 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 90 Sayı: 11
Basım Tarihi: 2013
Doi Numarası: 10.1080/00207160.2013.775425
Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2353-2371
İnönü Üniversitesi Adresli: Evet

Özet

In this paper, numerical solutions of a coupled modified Korteweg-de Vries equation have been obtained by the quadratic B-spline Galerkin finite element method. The accuracy of the method has been demonstrated by five test problems. The obtained numerical results are found to be in good agreement with the exact solutions. A Fourier stability analysis of the method is also investigated.