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

Guang Ri Piao, June Yub Lee, Guo Xian Cai

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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.

Original languageEnglish
Pages (from-to)877-895
Number of pages19
JournalNumerical Methods for Partial Differential Equations
Volume32
Issue number3
DOIs
StatePublished - 1 May 2016

Keywords

  • Crank-Nicolson method
  • Galerkin finite element method
  • quadratic B-spline
  • Rosenau-Burgers equation

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