Analysis and computational method based on quadratic B-spline FEM for the Rosenau-Burgers equation
- 주제(키워드) Crank-Nicolson method , Galerkin finite element method , quadratic B-spline , Rosenau-Burgers equation
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 John Wiley and Sons Inc.
- 발행년도 2016
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000126627
- 본문언어 영어
- Published As http://dx.doi.org/10.1002/num.22034
초록/요약
L∞-error estimates for B-spline Galerkin finite element solution of the Rosenau-Burgers equation are considered. The semidiscrete B-spline Galerkin scheme is studied using appropriate projections. For fully discrete B-spline Galerkin scheme, we consider the Crank-Nicolson method and analyze the corresponding error estimates in time. Numerical experiments are given to demonstrate validity and order of accuracy of the proposed method. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 877-895. © 2015 Wiley Periodicals, Inc.
more