ノイ　タカヒロ   Noi Takahiro   野井　貴弘    所属   追手門学院大学  大学所属    職種   講師
言語種別	英語
発行・発表の年月	2016/04
形態種別	論文
査読	査読あり
標題	Conservative difference schemes for the numerical solution of the Gardner equation
執筆形態	共著・編著（代表編著を除く）
掲載誌名	COMPUTATIONAL & APPLIED MATHEMATICS
掲載区分	国外
出版社・発行元	SPRINGER HEIDELBERG
巻・号・頁	35(1),pp.75-95
著者・共著者	Hirota Nishiyama,Takahiro Noi
概要	This paper is concerned with the construction of conservative finite difference schemes by means of discrete variational methods for Gardner's equations. A finite difference scheme is proposed so that the mass and energy conservation laws associated with the Gardner equation hold. Our arguments are based on the procedure that Furihata has recently developed for real-valued nonlinear partial differential equations. Numerical results are exhibited to illustrate the accuracy and validity of the numerical solutions.
DOI	10.1007/s40314-014-0183-2
ISSN	0101-8205/1807-0302