Валерій Лось

MODIFICATION OF THE SEPARABLE PHYSICS-INFORMED NEURAL NETWORK METHOD FOR THE APPROXIMATE SOLUTION OF A MIXED PROBLEM FOR THE HEAT CONDUCTION EQUATION IN AN ELLIPTICAL DOMAIN

Background. Parabolic differential equations are mathematical models in engineering designed to study wide range of applied models. This necessitates the development of approximate methods for solving them. Classical numerical methods based on finite difference and finite elements are difficult to apply to non-rectangu...