A fourth order one step method for numerical solution of good Boussinesq equation

Kirli, Emre; IRK, DURSUN

doi:10.3906/mat-2105-18

A fourth order one step method for numerical solution of good Boussinesq equation

Kirli E., IRK D.

Turkish Journal of Mathematics, cilt.45, sa.5, ss.2154-2170, 2021 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 45 Sayı: 5
Basım Tarihi: 2021
Doi Numarası: 10.3906/mat-2105-18
Dergi Adı: Turkish Journal of Mathematics
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.2154-2170
Anahtar Kelimeler: B-spline, Galerkin method, soliton, good Boussinesq equation
Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

© 2021In this paper, we investigate the numerical solution of ”good” Boussinesq equation by using the quartic B-spline Galerkin method for space discretization and the fourth order one-step method for time discretization.The proposed numerical scheme is analyzed for truncation error. Four test problems are studied. The accuracy and eﬀiciency are measured by computing error norm L∞ and the order of convergence for the proposed method. The results of numerical experiments confirm that the proposed method has a higher accuracy.