This paper is concerned with the approximate solution of a linear non-autonomous functional differential equation, with both advanced and delayed arguments. We search for a solution x(t), defined for… (More)

This paper is concerned with the approximate solution of a functional differential equation of the form: x′(t) = α(t)x(t)+β (t)x(t−1)+ γ(t)x(t +1). (1) We search for a solution x, defined for t ∈… (More)

This paper focuses on the decomposition, by numerical methods, of solutions to mixed-type functional differential equations (MFDEs) into sums of “forward” solutions and “backward” solutions. We… (More)

This paper contains a computational approximation for the solution of a forward-backward differential equation that models nerve conduction in a myelinated axon. We look for a solution of an equation… (More)

This paper is concerned with the approximate solution of a nonlinear mixed type functional differential equation (MTFDE) with deviating arguments arising from nerve conduction theory. The considered… (More)

This paper is devoted to the approximate solution of a linear first-order functional differential equation which involves delayed and advanced arguments. We seek a solution x, defined for t ∈ (0, k −… (More)

In the context of physics, economic dynamics, finance, optimal control, biology and other applied sciences, many mathematical models contain mixed type functional differential equations (MTFDEs),… (More)

Recently, at the 119th European Study Group with Industry, the Energy Solutions Operator EDP proposed a challenge concerning electricity prices simulation, not only for risk measures purposes but… (More)