Mathematical Methods in Dynamical Systems

✍ Scribed by S. Chakraverty (editor), Subrat Kumar Jena (editor)

• Publisher: CRC Press
• Year: 2023
• Tongue: English
• Leaves: 393
• Edition: 1
• Category: Library

✦ Synopsis

The art of applying mathematics to real world dynamical problems such as structural dynamics, fluid dynamics, wave dynamics, robot dynamics, etc., can be extremely challenging. Various aspects of mathematical modelling that may include deterministic or uncertain (fuzzy, interval, or stochastic) scenarios, along with integer or fractional order, are vital to understanding these dynamical systems. Mathematical Methods in Dynamical Systems offers problem solving techniques and includes different analytical, semi-analytical, numerical and machine intelligence methods for finding exact and/or approximate solutions of governing equations arising in dynamical systems. It provides a singular source of computationally efficient methods to investigate these systems, and includes coverage of various industrial applications in a simple yet comprehensive way.

✦ Table of Contents

Cover
Half Title
Title Page
Copyright Page
Contents
Preface
Acknowledgement
About the Authors
Contributors
Chapter 1: Dynamical Problems for Generally Anisotropic Shells with the GDQ Method
Chapter 2: Dynamical Problems of Functionally Graded Nonuniform Nanoplates under Thermal Field
Chapter 3: Effect of External Resistances on Energy Harvesting Behaviour of Porous Functionally Graded Magneto-Electro-Elastic Beam
Chapter 4: Mass Resonator Sensor and Its Inverse Problems
Chapter 5: Axial-Wave Propagation of Carbon Nanorod-Conveying Fluid with Elastic Support Using Nonlocal Continuum Elasticity
Chapter 6: Differential Transformation and Adomian Decomposition Methods for the Radiation Effect on Marangoni Boundary Layer Flow of Carbon Nanotubes
Chapter 7: Min-Max Game Theory for Coupled Partial Differential Equation Systems in Fluid Structure
Chapter 8: Numerical Simulation for Time Fractional Integro Partial Differential Equations Arising in Viscoelastic Dynamical System
Chapter 9: From Continuous Time Random Walk Models to Human Decision-Making Modelling: A Fractional Perspective
Chapter 10: Dynamics of Slender Single-Link Flexible Robotic Manipulator Based on Timoshenko Beam Theory
Chapter 11: Non-Probabilistic Solution of Imprecisely Defined Structural Problem with Beams and Truses Using Interval Finite Element Method
Chapter 12: Linear Eigenvalue Problems in Dynamic Structure with Uncertainty: An Expectation-Based Approach
Chapter 13: Dynamical Approach to Forecast Decentralized Currency Exchange Value with Respect to Indian National Rupees
Chapter 14: Curriculum Learning-Based Approach to Design an Unsupervised Neural Model for Solving Emden–Fowler Type Equations of Third Order
Index