A method for solving boundary value problems for nonlinear control systems in the class of discrete controls

An embedded fourth order method for solving structurally partitioned systems of ordinary differential equations

“…Such systems appear, for example, in problems of optimal control and stabilisation [7,8], medical modelling [13], celestial mechanics or high-energy physics. For instance, large-scale oscillations of systems with rotational symmetry [6] are described (after some reducing) with equations…”

Embedded methods of order six for special systems of ordinary differential equations

“…They appear, for instance, in problems of optimal control and stabilization [6], high-energy physics, celestial mechanics and other. Moreover, the system (5) includes second-order differential equations where the second derivative is independent of the first one…”

Boundary Value Problem for a Two-Time-Scale Nonlinear Discrete System

“…by using an algorithmic technique we developed firstly for perturbed difference equations (see [10], [11], [16], [17], [18], [19]). Recently, many researchers have studied discrete versions of boundary value problems (BVPs) (see [1], [4], [5], [8]), and applications of two-point BVP algorithms arise in pollution control problems, nuclear reactor heat transfer and vibration. For an abbreviated writing, we denote the partial derivative…”