Numerical solution of a coupled modified Korteweg-de Vries equation by the Galerkin method using quadratic B-splines
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.90, sa.11, ss.2353-2371, 2013 (SCI-Expanded, Scopus)
- 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.