Artificial neural networks for engineers and scientists : solving ordinary differential equations /: solving ordinary differential equations. (2017)

• Record Type: Book
• Further Information: Note: Snehashish Chakraverty & Susmita Mall.
• Other Names: Chakraverty, Snehashish; Mall, Susmita
• Contents: Cover; Half Title ; Title Page ; Copyright Page ; Table of Contents ; Preface ; Acknowledgments ; Authors ; Reviewers ; Chapter 1: Preliminaries of Artificial Neural Network ; 1.1 Introduction ; 1.2 Architecture of ANN ; 1.2.1 Feed-Forward Neural Network 1.2.2 Feedback Neural Network 1.3 Paradigms of Learning ; 1.3.1 Supervised Learning or Associative Learning ; 1.3.2 Unsupervised or Self-Organization Learning ; 1.4 Learning Rules or Learning Processes ; 1.4.1 Error Back-Propagation Learning Algorithm or Delta Learning Rule 1.5 Activation Functions 1.5.1 Sigmoid Function ; 1.5.1.1 Unipolar Sigmoid Function ; 1.5.1.2 Bipolar Sigmoid Function ; 1.5.2 Tangent Hyperbolic Function ; References ; Chapter 2: Preliminaries of Ordinary Differential Equations ; 2.1 Definitions ; 2.1.1 Order and Degree of DEs 2.1.2 Ordinary Differential Equation 2.1.3 Partial Differential Equation ; 2.1.4 Linear and Nonlinear Differential Equations ; 2.1.5 Initial Value Problem ; 2.1.6 Boundary Value Problem ; References ; Chapter 3: Multilayer Artificial Neural Network 3.1 Structure of Multilayer ANN Model 3.2 Formulations and Learning Algorithm of Multilayer ANN Model ; 3.2.1 General Formulation of ODEs Based on ANN Model ; 3.2.2 Formulation of nth-Order IVPs ; 3.2.2.1 Formulation of First-Order IVPs ; 3.2.2.2 Formulation of Second-Order IVPs
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 515/.3520285632; MATHEMATICS / Differential Equations; Differential equations -- Data processing; Engineering mathematics -- Data processing; Artificial intelligence; Artificial intelligence; Differential equations -- Data processing; Engineering mathematics -- Data processing; MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; TECHNOLOGY & ENGINEERING / Mechanical; Electronic books
• Languages: English
• ISBNs: 9781351651318; 1351651315
• Related ISBNs: 9781498781381; 1498781381; 9781498781404
• Notes: Note: Includes bibliographical references.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.