A numerical application of the decomposition method for the combined KdV-MKdV equation
Applied Mathematics and Computation, cilt.168, sa.2, ss.915-926, 2005 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 168 Sayı: 2
- Basım Tarihi: 2005
- Doi Numarası: 10.1016/j.amc.2004.09.033
- Dergi Adı: Applied Mathematics and Computation
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.915-926
- Anahtar Kelimeler: Solitary-wave solution, The combined Korteweg de Vries-Modified Korteweg de Vries equation, The convergence of Adomian decomposition method
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
We consider solitary-wave solutions of the combined Korteweg de Vries-Modified Korteweg de Vries (KdV-MKdV) equation. We prove the convergence of Adomian decomposition method (ADM) applied to the combined KdV-MKdV equation. Then we obtain the exact solitary-wave solutions and numerical solutions of the combined KdV-MKdV equation for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the combined KdV-MKdV equation. © 2004 Elsevier Inc. All rights reserved.