Editor: Satyvir Singh, RWTH Aachen University, Germany
Mukesh Kumar Awasthi, Babasaheb Bhimrao Ambedkar University, Lucknow, India
In an era where engineering challenges are becoming increasingly multifaceted, Mathematical Solutions for Complex Engineering Systems serves as a comprehensive guide bridging the gap between theory and real-world applications. This book explores advanced mathematical modeling techniques, computational approaches, and optimization strategies that drive innovation across various engineering disciplines.
This book brings together a diverse collection of research contributions that highlight:
- Deterministic, stochastic, linear, and nonlinear models essential for analyzing multi-physical systems, from fluid dynamics to reliability engineering.
- Cutting-edge methods such as finite element analysis, boundary element methods, Keller box techniques, and machine learning-driven modeling for solving complex engineering problems.
- Case studies on nuclear power plant reliability, eco-epidemiology, nanofluid heat transfer, and pesticide impact on agricultural sustainability.
- Novel mathematical frameworks, including fractional Taylor wavelets, B-spline methods, and variational principles, for tackling nonlinear differential equations.
- Advanced concepts such as tunnel mathematics, meshfree methods, and high-resolution computational fluid dynamics (CFD) models for solving contemporary engineering challenges.
Designed for researchers, engineers, and graduate students, this book provides a robust foundation in mathematical techniques and their practical applications. With contributions from leading experts, it offers a unique blend of theoretical depth and computational efficiency, making it an essential reference for tackling modern engineering complexities.
Mathematical modeling; engineering optimization; numerical methods;
computational engineering; multi-scale modeling
- Chapter 1: Recent Innovations and Advances in Mathematical Modeling for Engineering Systems
- Chapter 2: A Study of Approximation Techniques used to Solve Queueing Models that Arise in Optimizing Complex Engineering Systems
- Chapter 3: Stochastic Modeling in Engineering Systems: A Study of a Nuclear Power Plant System
- Chapter 4: Nonlinear Dynamics and Chaos in Engineering Systems: Through an Epidemic Model
- Chapter 5: Eco-epidemiological Analysis of Plant�??Herbivore Interactions: The Allee Effect and Time-dependent Dynamics
- Chapter 6: Impacts of Pesticides and External Interventions on Crop Production: A Modeling Approach
- Chapter 7: Tensor Foundations of Tunnel Mathematics
- Chapter 8: Boundary Element Analysis for MHD Stokes Flow through a Microchannel Exhibiting Surface Roughness
- Chapter 9: Numerical Investigation of Non-Darcy MHD Boundary Layer Nanofluids Flow Over a Non-linear Stretching Surface
- Chapter 10: Extended Hydrodynamic Models for Rayleigh�??Brillouin Scattering in Polyatomic Rarefied Gases: A Comparative Study
- Chapter 11: Nodal Discontinuous Galerkin Framework for Solving Grad-17 Moment Equations in a Rarefied Regime
- Chapter 12: Exploring the Method of Fundamental Solutions for Nonhomogeneous and Nonlinear Partial Differential Equations
- Chapter 13: A Fractional Order Taylor Wavelets Approach for the Numerical Simulation of Fractional Variational Problems
- Chapter 14: New Fourth-order Efficient Numerical Solutions of the Klein�??Gordon Equation
- Chapter 15: Numerical Approximation of the Sine�??Gordon Equation by Using the Hybrid B-spline Differential Quadrature Method
- Chapter 16: An Overview of High-resolution Schemes in the OpenFOAM Toolkit