Ms. Sharwline Nicholson probably did not realize that what she experienced on January 7, 1999 would change her life, the lives of her two children, and ultimately, the lives of many other battered mothers and children in New York. A thirty-two-year-old mother of two, Ms. Nicholson worked as a full-time cashier and attended classes full-time at Mercy College. Mr. Barnett, the father of Ms. Nicho...

Pressure correction schemes and the method of characteristics are combined to obtain numerical approximation procedures for incompressible Navier-Stokes ows on massive parallel computers. The projection step is carried out with a new more eecient parallel preconditioned conjugate gradient method and for the computation of the characteristics we use a fast local Crank-Nicholson solver for linear...

the burgers’ equation is a simplified form of the navier-stokes equations that very well represents their non-linear features. in this paper, numerical methods of the adomian decomposition and the modified crank – nicholson, used for solving the one-dimensional burgers’ equation, have been compared. these numerical methods have also been compared with the analytical method. in contrast to...

Abstract We develop a fully discrete finite volume element scheme of the two-dimensional space-fractional convection–diffusion equation using method to discretize derivative and Crank–Nicholson for time discretization. also analyze prove stability convergence given scheme. Finally, we validate our theoretical analysis by data from three examples.