A new efficient fourth order collocation scheme for solving Burgers’ equation

作者：

Highlights：

• A new efficient fourth order collocation scheme based upon re-defined cubic B-splines has been developed for solving Burger’s equation.

• It is shown that proposed schemes produces stable solutions.

• The proposed results are of high accuracy as compared to the earlier results.

摘要

•A new efficient fourth order collocation scheme based upon re-defined cubic B-splines has been developed for solving Burger’s equation.•It is shown that proposed schemes produces stable solutions.•The proposed results are of high accuracy as compared to the earlier results.

论文关键词：Cubic B-spline,Modified cubic B-spline,Collocation scheme,Nonlinear Burgers' equations,SSP-RK43 scheme

论文评审过程：Received 21 August 2020, Revised 3 January 2021, Accepted 14 January 2021, Available online 9 February 2021, Version of Record 9 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126011