Galerkin-least square B-spline approach toward advection–diffusion equation

作者:

Highlights:

• The study uses weighted residual least squares method using cubic B-splines.

• A numerical scheme is developed to solve PDEs involving advection–diffusion type phenomenon.

• The validity of the scheme is tested with several model problems.

• Method is shown to be highly accurate and computationally efficient.

• Stability and error analysis are presented.

摘要

•The study uses weighted residual least squares method using cubic B-splines.•A numerical scheme is developed to solve PDEs involving advection–diffusion type phenomenon.•The validity of the scheme is tested with several model problems.•Method is shown to be highly accurate and computationally efficient.•Stability and error analysis are presented.

论文关键词:Advection–diffusion,B-splines,Finite element methods

论文评审过程:Received 15 March 2013, Revised 13 February 2015, Accepted 23 March 2015, Available online 11 April 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.03.092