Neural algorithm for solving differential equations

TLDR

Finite difference equations are used to numerically solve differential equations via minimization algorithms. The paper presents neural minimization algorithms to solve finite difference equations. The authors implement neural minimization algorithms for finite difference equations, detailing the algorithmic design and implementation. Numerical simulations demonstrate the effectiveness of the neural algorithm. The paper discusses general features of the neural algorithms.

Abstract

Finite difference equations are considered to solve differential equations numerically by utilizing minimization algorithms. Neural minimization algorithms for solving the finite difference equations are presented. Results of numerical simulation are described to demonstrate the method. Methods of implementing the algorithms are discussed. General features of the neural algorithms are discussed.