Difference equations, serving as the discrete analogue to differential equations, have long been a linchpin in the study of dynamic systems. These equations define sequences recursively, and their ...

Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...

For this system, the initial values for the concentrations are derived from equilibrium considerations (as a function of parameters) or are provided as known values. The experiment used to collect the ...

A homogeneous linear difference equation with constant coefficients over a locally compact abelian group $G$ is an equation of the form $\sum^n_{j=1} c_jf (t_jx) = 0 ...

A new iterative method is presented for solving finite difference equations which approximate the steady Stokes equations. The method is an extension of successive-over-relaxation and has two ...

Consider the time series y t: where f(t) is an unknown smooth function and is an iid random variable with zero mean and positive variance . Whittaker (1923) provides the solution, which balances a ...

In this paper we investigate the effectiveness of alternating direction implicit (ADI) time-discretization schemes in the numerical solution of the three-dimensional Heston-Hull-White partial ...