Finite difference-finite element approach for solving fractional Oldroyd-B equation

Amer Rasheed, Abdul Wahab, Shaista Qaim Shah, Rab Nawaz
2016 Advances in Difference Equations  
In this article, we study an unsteady flow of an anomalous Oldroyd-B fluid confined between two infinite parallel plates subject to no-slip condition at boundary. The flow is induced by a linear acceleration of the lower plate in its own plane. A standard Galerkin finite element method is adopted to construct an approximate solution blended with a finite difference approximation for Caputo fractional time derivatives. The convergence of the proposed numerical scheme is substantiated, and error
more » ... stimates are provided in appropriate norms. Some adequate numerical simulations are performed in order to elucidate the dominance of characteristic flow parameters of velocity field in the prescribed configuration. MSC: 35A15; 76A05; 76A10; 76D99; 76M10
doi:10.1186/s13662-016-0961-9 fatcat:jv7pkxkm55hefbmbeq6yv4txqy