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 ...

Differential equations are equations that involve an unknown function and its derivatives with respect to one or more independent variables. They play a fundamental role in various fields of science, ...

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 ...

Physics-Informed Neural Networks (PINNs) are a class of deep learning models designed to solve differential equations by incorporating physical laws directly into the training process. Instead of ...