In this research, the Differential Transformation Method (DTM) has been utilized to solve the hyperbolic Telegraph equation. This method can be used to obtain the exact solutions of this equation. In ...

Differential equations are the backbone of mathematical modeling, describing relationships between a function and its derivatives. They appear everywhere, from physics and engineering to economics and ...

The tfc Python module is designed to help you quickly and easily apply the Theory of Functional Connections (TFC) to optimization problems. For more information on the code itself and code-based ...

It can take years for humans to solve complex scientific problems. With AI, it can take a fraction of the time. Dr. Shuiwang Ji, a professor in the Department of Computer Science and Engineering at ...

This book is devoted to the study of existence of solutions or positive solutions for various classes of Riemann–Liouville and Caputo fractional differential equations, and systems of fractional ...

Abstract: An analog memristor-crossbar-array-based non-linear partial differential equation (PDE) solver is developed and verified through circuit-level simulations using realistic memristor device ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. In chemical reaction network theory, ordinary differential equations are used to model ...

Abstract: Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential ...

Maths Differential Equations Formulas: Calculus comprises a major part of the curriculum of the CBSE Class 12 mathematics course. Several chapters from books 1 and 2 of the NCERT math book cover ...