Temporal second-order finite difference schemes for variable-order time-fractional generalized Oldroyd-B fluid model

Abstract

In this paper, we study the variable-order generalized time fractional Oldroyd-B fluid model, use the reduced order method and the L2-1? method to establish the differential format with second-order accuracy, prove the stability and convergence of the format, and give numerical examples to illustrate the effectiveness of the differential format.