ENGLISH

Mathematical Methods in Dynamical Systems

By S. Chakraverty (editor) , Subrat Kumar Jena (editor)

Book information

Publisher
CRC Press
Year
2023
ISBN
1032356863, 9781032356860
Language
english
Format
PDF
Filesize
40 MB (42371896 bytes)
Edition
1
Pages
400\393
Time added
2023-03-29 23:51:44

Description

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. 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

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