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

Guang Ri Piao; June Yub Lee; Guo Xian Cai

doi:10.1002/num.22034

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

Guang Ri Piao, June Yub Lee, Guo Xian Cai

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 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 language	English
Pages (from-to)	877-895
Number of pages	19
Journal	Numerical Methods for Partial Differential Equations
Volume	32
Issue number	3
DOIs	https://doi.org/10.1002/num.22034
State	Published - 1 May 2016

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Publisher Copyright:
© 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 877-895. © 2015 Wiley Periodicals, Inc.

Keywords

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

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10.1002/num.22034

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

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.",

keywords = "Crank-Nicolson method, Galerkin finite element method, Rosenau-Burgers equation, quadratic B-spline",

author = "Piao, {Guang Ri} and Lee, {June Yub} and Cai, {Guo Xian}",

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AU - Piao, Guang Ri

AU - Lee, June Yub

AU - Cai, Guo Xian

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Y1 - 2016/5/1

N2 - 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.

AB - 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.

KW - Crank-Nicolson method

KW - Galerkin finite element method

KW - Rosenau-Burgers equation

KW - quadratic B-spline

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JF - Numerical Methods for Partial Differential Equations

IS - 3

ER -

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

Abstract

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Keywords

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