Collocation Method for Solving the Generalized KdV Equation

Autor:	Turabi Geyikli
Rok vydání:	2020
Předmět:	Work (thermodynamics) Collocation Collocation method Crank–Nicolson method Applied mathematics Soliton Korteweg–de Vries equation Finite element method Mathematics::Numerical Analysis Mathematics
Zdroj:	Journal of Applied Mathematics and Physics. :1123-1134
ISSN:	2327-4379 2327-4352
DOI:	10.4236/jamp.2020.86085
Popis:	In this work, we have obtained numerical solutions of the generalized Korteweg-de Vries (GKdV) equation by using septic B-spline collocation finite element method. The suggested numerical algorithm is controlled by applying test problems including; single soliton wave. Our numerical algorithm, attributed to a Crank Nicolson approximation in time, is unconditionally stable. To control the performance of the newly applied method, the error norms, L2 and L∞ and invariants I1, I2 and I3 have been calculated. Our numerical results are compared with some of those available in the literature.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7144a8ec45a917839f8daaf84b84e737 https://doi.org/10.4236/jamp.2020.86085 Zobrazit plný text záznamu