We use the cellular automaton (CA) approach to model  binary diffusion in solids. We define an asynchronous CA model and formally take its continuum limit and show it approaches a  differential equation model derived in ...

We consider the evolution of the free boundary separating two immiscible viscous fluids with different constant densities in an elastic porous skeleton. The motion of the liquids is described by the Stokes equations driven ...

In this work, an initial value problem for a weakly coupled system of two singularly perturbed ordinary differential equations with discontinuous source term is considered. In general, the system does not obey the standard ...

Here, three new nonlinear conjugate gradient (NCG) methods are proposed,  based on a modified secant equation introduced in (IMA. J.  Num.  Anal. 11 (1991) 325-332) and optimal Dai-Liao (DL) parameters (Appl.  Math.  Optim.  ...

Quasi-Newton methods are one of the popular iterative schemes to solve unconstrained optimization problems. The high convergence rate and excellent precision are two prominent characteristics of the quasi-Newton methods. ...