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

作者：Piao, Guang-Ri^*; Lee, June-Yub; Cai, Guo-Xian

来源：Numerical Methods for Partial Differential Equations, 2016, 32(3): 877-895.

DOI：10.1002/num.22034

• Crank-Nicolson method
• Galerkin finite element method
• quadratic B-spline
• 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 corresponding error estimates in time. Numerical experiments are given to demonstrate validity and order of accuracy of the proposed method.

• 出版日期2016-5
• 单位延边大学