A new class of polynomial functions for approximate solution of generalized Benjamin–Bona–Mahony–Burgers (gBBMB) equations

作者：

Highlights：

• Many properties of the new class of polynomial functions are presented for first time.

• The 1D and 2D nonlinear generalized Benjamin–Bona–Mahony–Burgers equations are considered.

• This new class of polynomial functions are used for BBM equations.

• The new obtained solutions are accurate than before published papers.

摘要

•Many properties of the new class of polynomial functions are presented for first time.•The 1D and 2D nonlinear generalized Benjamin–Bona–Mahony–Burgers equations are considered.•This new class of polynomial functions are used for BBM equations.•The new obtained solutions are accurate than before published papers.

论文关键词：Lucas polynomials,Boubaker polynomials,1D and 2D (gBBMB),Collocation method,Nonlinear system,Quasi linearization

论文评审过程：Received 8 May 2019, Revised 13 August 2019, Accepted 15 September 2019, Available online 4 October 2019, Version of Record 4 October 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.124765