Simulating blood flows in compliant arteries in 3D is a challenging multi-physics problem.The difficulties are due to the high nonlinearity of coupled equations.To overcome the difficulties,we study a
Fractional Partial Differential Equations(FPDEs)are emerging as a new powerful tool for modeling many difficult complex systems,i.e.,systems with overlapping microscopic and macroscopic scales or syst
We develop parallel domain decomposition based algorithms used for numerical simulation of blood flows in arteries based on a non-Newtonian viscosity model and provides a comparative study with the nu
This talk introduces numerical methods and applications for fractional-order advection-dispersion equations(fADEs).A general Lagrangian solver is developed to approximate various fADEs using a three-s
Consider fractional-derivative two-point boundary value problems where the leading term in the differential operator is either a Riemann-Liouville or a Caputo derivative of order 2-δ with 0 <δ< 1.Each