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

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 corr...

Full description

Saved in:
Bibliographic Details
Published inNumerical methods for partial differential equations Vol. 32; no. 3; pp. 877 - 895
Main Authors Piao, Guang-Ri, Lee, June-Yub, Cai, Guo-Xian
Format Journal Article
LanguageEnglish
Published New York Blackwell Publishing Ltd 01.05.2016
Wiley Subscription Services, Inc
Subjects
Crank-Nicolson method
Error analysis
Estimates
Finite element method
Galerkin finite element method
Galerkin methods
Mathematical analysis
Mathematical models
Numerical analysis
Projection
quadratic B-spline
Rosenau-Burgers equation
Online AccessGet full text

Cover

More Information
Summary: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, 2016
Bibliography:ArticleID:NUM22034
National Natural Science Foundation of China - No. 11461074
istex:B1F1708947F4076C6DA1DA02AE36E439AF31FC43
ark:/67375/WNG-GWC7ST5K-6
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0749-159X
1098-2426
DOI:10.1002/num.22034