Numerical Solution of Sixth-Order Differential Equations Arising in Astrophysics by Neural Network

In the current paper, a neural network method to solve sixth-order differential equations and their boundary conditions has been pre-sented. The idea this method incorporates is to integrate knowl-edge about the differential equation and its boundary conditions into neural networks and the training sets. Neural networks are be-ing used incessantly to solve all kinds of problems hailing a wide range of disciplines. Several examples are given to illustrate the efficiency and implementation of the Neural Network method. Keywords