The Galerkin method for the KdV equation using a new basis of smooth piecewise cubic polynomials

Autor:	Su-Cheol Yi, Shusen Xie, Shu-Yan Hao
Rok vydání:	2012
Předmět:	Computational Mathematics Nonlinear system Conservation law Basis (linear algebra) Applied Mathematics Mathematical analysis Spectral element method Piecewise Galerkin method Korteweg–de Vries equation Cubic function Mathematics
Zdroj:	Applied Mathematics and Computation. 218:8659-8671
ISSN:	0096-3003
Popis:	In this paper, we introduce the Galerkin method using a new basis of smooth piecewise cubic polynomials for the one-dimensional nonlinear KdV equation. The stability analysis shows that the present method is unconditionally stable in L 2 -norm. Numerical experiments show that the proposed method preserves the conservation laws and is effective for simulating the motions and the interactions of solitary waves.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::31eb88efe274d26d31dc952b6d27aa44 https://doi.org/10.1016/j.amc.2012.02.027 Zobrazit plný text záznamu Full Text from ScienceDirect