Artificial Neural Networks for Engineers and Scientists: Solving Ordinary Differential Equations 1st Edition Chakraverty Susmita 1351651315 9781351651318

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Product details:

• ISBN 10: 1351651315
• ISBN 13: 9781351651318
• Author: S. Chakraverty, Susmita Mall

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.

Table of contents:

1. Preliminaries of Artificial Neural Network

2. Preliminaries of Ordinary Differential Equations

3. Multilayer Artificial Neural Network

4. Regression-Based ANN

5. Single-Layer Functional Link Artificial Neural Network

6. Single-Layer Functional Link Artificial Neural Network with Regression-Based Weights

7. Lane–Emden Equations

8. Emden–Fowler Equations

9. Duffing Oscillator Equations

10. Van der Pol–Duffing Oscillator Equation

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