Mathematical Methods in Dynamical Systems

ISBN-13: 9781032356860 / Angielski / Twarda / 2023 / 400 str.

S. Chakraverty; Subrat Kumar Jena

Opis

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.

Spis treści

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