The aim of this book is to handle different application problems of science and engineering using expert Artificial Neural Network (ANN). As such, the book starts with basics of ANN along with different mathematical preliminaries with respect to algebraic equations. Then it addresses ANN based methods for solving different algebraic equations viz. polynomial equations, diophantine equations, transcendental equations, system of linear and nonlinear equations, eigenvalue problems etc. which are the basic equations to handle the application problems mentioned in the content of the book. Although there exist various methods to handle these problems, but sometimes those may be problem dependent and may fail to give a converge solution with particular discretization. Accordingly, ANN based methods have been addressed here to solve these problems. Detail ANN architecture with step by step procedure and algorithm have been included. Different example problems are solved with respect to various application and mathematical problems. Convergence plots and/or convergence tables of the solutions are depicted to show the efficacy of these methods. It is worth mentioning that various application problems viz. Bakery problem, Power electronics applications, Pole placement, Electrical Network Analysis, Structural engineering problem etc. have been solved using the ANN based methods.
Contents:
- ANN Preliminaries
- Mathematical Preliminaries
- Polynomial Equations with Application in Solving Bakery Problem
- Transcendental Equations in Power Electronics Applications
- Diophantine Equations in Pole Placement
- Systems of Linear Equations with Application in Static Structural Problems
- Systems of Nonlinear Equations in Electrical Network Analysis
- Eigenvalue Problems with Application in Structural Dynamics
- Nonlinear Eigenvalue Problems with Application in Structural Dynamics
- Definite Integrals in the Fluid Force on a Vertical Surface
- Inverse Problems in Structural Dynamics
Readership: Advanced graduate students, professionals and scientists in Artificial Neural Network and Machine Learning.
Key Features:
- Expert ANN based methods showing the alternative way to handle problems compared to traditional methods
- Various algebraic equations viz. polynomial equations, diophantine equations, transcendental equations, system of linear and nonlinear equations, eigenvalue problems etc. are handled using ANN methods
- Different science and engineering application problems are also solved using ANN to show the efficacy of these methods
