Differential equations play a vital role in the fields of engineering and science. Problems in engineering and science can be modeled using ordinary or partial differential equations. Analytical solutions of differential equations may not be obtained easily, so numerical methods have been developed to handle them. Machine intelligence methods, such as Artificial Neural Networks (ANN), are being used to solve differential equations, and these methods are presented in Artificial Neural Networks for Engineers and Scientists: Solving Ordinary Differential Equations. This book shows how computation of differential equation becomes faster once the ANN model is properly developed and applied.

chapter 3|20 pages

Multilayer Artificial Neural Network

chapter 4|20 pages

Regression-Based ANN

chapter 7|17 pages

Lane–Emden Equations

chapter 8|11 pages

Emden–Fowler Equations

chapter 9|16 pages

Duffing Oscillator Equations

chapter 10|13 pages

Van der Pol–Duffing Oscillator Equation