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Analysis and computational method based on quadratic B-spline FEM for the Rosenau-Burgers equation

Title
Analysis and computational method based on quadratic B-spline FEM for the Rosenau-Burgers equation
Authors
Piao, Guang-RiLee, June-YubCai, Guo-Xian
Ewha Authors
이준엽
SCOPUS Author ID
이준엽scopus
Issue Date
2016
Journal Title
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN
0749-159XJCR Link1098-2426JCR Link
Citation
vol. 32, no. 3, pp. 877 - 895
Keywords
Crank-Nicolson methodGalerkin finite element methodquadratic B-splineRosenau-Burgers equation
Publisher
WILEY-BLACKWELL
Indexed
SCIE; SCOPUS WOS scopus
Abstract
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. (c) 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 877-895, 2016
DOI
10.1002/num.22034
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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