A analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method

Polat, Necat; KAYA, DOĞAN; Tutalar, H.

doi:10.1016/j.amc.2005.11.104

A analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method

Polat N., KAYA D., Tutalar H. I.

Applied Mathematics and Computation, cilt.179, sa.2, ss.466-472, 2006 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 179 Sayı: 2
Basım Tarihi: 2006
Doi Numarası: 10.1016/j.amc.2005.11.104
Dergi Adı: Applied Mathematics and Computation
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.466-472
Anahtar Kelimeler: Adomian decomposition method, Convergence analysis, Modified Kawahara equation, Numerical solution, Traveling wave solution
İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper, we present an Adomian's decomposition method (shortly ADM) for numerical approximation traveling-wave solutions of the modified Kawahara equation. The numerical solutions are compared with the known analytical solutions. We also prove the convergence of Adomian decomposition method (ADM) applied to the modified Kawahara equation. © 2005 Elsevier Inc. All rights reserved.