Fast method and convergence analysis for the magnetohydrodynamic flow and heat transfer of fractional Maxwell fluid

作者：

Highlights：

• A fractional Maxwell fluid model is built to study the flow and heat transfer.

• The weighted and shifted Grnwald difference method is used to discretize.

• A fast algorithm is proposed to reduce the time and the memory requirements.

• The stability and convergence of the scheme with the fast method are proved.

• The efficiency of scheme is verified and the effects of parameters are discussed.

摘要

•A fractional Maxwell fluid model is built to study the flow and heat transfer.•The weighted and shifted Grnwald difference method is used to discretize.•A fast algorithm is proposed to reduce the time and the memory requirements.•The stability and convergence of the scheme with the fast method are proved.•The efficiency of scheme is verified and the effects of parameters are discussed.

论文关键词：Fast method,Magnetohydrodynamic flow and heat transfer,Fractional coupled model,Weighted and shifted Grünwald difference method,Stability and convergence

论文评审过程：Received 30 September 2021, Revised 30 December 2021, Accepted 14 May 2022, Available online 23 May 2022, Version of Record 23 May 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127255