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	2012/06
形態種別	論文
査読	査読あり
標題	Conservative finite difference schemes for the generalized Zakharov-Kuznetsov equations
執筆形態	共著・編著（代表編著を除く）
掲載誌名	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
掲載区分	国外
出版社・発行元	ELSEVIER SCIENCE BV
巻・号・頁	236(12),pp.2998-3006
著者・共著者	Hirota Nishiyama,Takahiro Noi,Shinnosuke Oharu
概要	This paper is concerned with the construction of conservative finite difference schemes by means of discrete variational method for the generalized Zakharov-Kuznetsov equations and the numerical solvability of the two-dimensional nonlinear wave equations. A finite difference scheme is proposed such that mass and energy conservation laws associated with the generalized Zakharov-Kuznetsov equations hold. Our arguments are based on the procedure that D. Furihata has recently developed for real-valued nonlinear partial differential equations. Numerical results are given to confirm the accuracy as well as validity of the numerical solutions and then exhibit remarkable nonlinear phenomena of the interaction and behavior of pulse wave solutions. (C) 2011 Elsevier B.V. All rights reserved.
DOI	10.1016/j.cam.2011.04.010
ISSN	0377-0427