Mathematics Department, Texas A & M University Kingsville, Kingsville, USA. 1. Definitions and Example of Nonanticipative Operators An important feature of ordinary differential equations is that the ...

The object of this work is to describe how to implement the differential ‎transformation method (DTM) for finding exact and approximate solutions of ‎the second-order random differential equations. To ...

In the uploaded file, we present a simple approach for simulating an ordinary differential equation with time-varying inputs or parameters in Python. The webpage tutorial accompanying and explaining ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...

In many fields of study there occur systems of lagged dependences which can be described approximately by systems of linear stationary stochastic differential equations. In this paper we consider the ...

Abstract: As simulation continues to replace experimentation in the design cycle, the need to quantify uncertainty in model outputs due to uncertainties in the model parameters becomes critical. For ...