Strategic Approaches to Problem Solving in Science and Engineering
Description
This book serves as a comprehensive resource that highlights innovative practices and techniques within the realm of approximation methods. The book not only explores the theoretical aspects of approximation but also delves into their practical applications across a range of domains.
Features:
- Discusses the application of wavelets to develop computational schemes for solving mathematical models offering a valuable approach to handle a variety of complex phenomena.
- Presents an inventory model designed for managing inevitable stock containing deteriorating objects, with a focus on time-dependent requirements and factors such as stationary holding and cost debilitation rates.
- Explores the numerical solution of two-dimensional, viscous magnetohydrodynamic (MHD) flow along a constant wedge through a porous medium.
- Showcases a stability analysis of thermal convection in a Jeffrey ferromagnetic fluid, focusing on both linear and weakly nonlinear aspects.
- Highlights an innovative mathematical modeling approach to address sustainability concerns in mixing problems, specifically considering the integration of renewable energy sources.
The text is primarily written for senior undergraduates, graduate students, and academic researchers in the fields including electrical engineering, electronics and communications engineering, computer science and engineering, manufacturing engineering, and industrial and production engineering.
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Persons
Sharanjeet Dhawan is an Assistant Professor of Mathematics at CCSHAU, Haryana, India, and a Core Committee Member in Mathematical Sciences for the Indian National Young Academy of Sciences (INYAS). Her work focuses on developing and implementing wavelet collocation methods, finite element analysis, and numerical simulations for solving differential equations arising in fluid mechanics, biomechanics and nonlinear wave dynamics, resulting in numerous high-impact publications.
Ajender Kumar Malik is a Professor of Mathematics at UP Rajarshi Tandon Open University, Prayagraj, Uttar Pradesh, India. He is also Hon. (Voluntary) National Director for National Council of Researcher Teacher Scientists India affiliated to VIPNET, Vigyan Prasar (under DST Govt. of India).
Manoj Sahni is a dedicated and experienced Mathematics teacher and researcher with more than 20 years of experience and currently serving as a Professor in the Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Gandhinagar, Gujarat, India.
Ritu Sahni is a dedicated and experienced Mathematics teacher and researcher with more than 18 years' experience who is actively involved with both undergraduate and postgraduate levels teaching students.
Content
Chapter 1. Exploring Stock-Price Dependencies for Cost Optimization in the Presence of Demand Fluctuations, Inflation, and Backlogs. Chapter 2. An inventory model with learning effect under Reliability dependent demand. Chapter 3. Inventory Model for Inevitable Stock with Deteriorating Objects Requirement Dependent on Time Precipitously and Stationary Holding with Cost Debilitation Rate. Chapter 4. Analysis of Particle Swarm Optimization based Inventory Model with Non-instantaneous Deteriorating items. Chapter 5. A Novel Approach to Mathematical Modeling on Sustainability of Mixing Problems with Renewable Energy. Chapter 6. Linear and weakly nonlinear stability analysis of thermal convection in Jeffrey ferromagnetic fluid: Fourier series truncated approximation. Chapter 7. A New Approach for Solving Generalized Function in Fractional Calculus Rate. Chapter 8. Analysis of Quality of Services (QoS) for Wireless Sensor Network. Chapter 9. Computational Approximation Techniques for Evaluating Electromagnetic Quantities. Chapter 10. Analysis of AI-Based Emotion Recognition Techniques in Online Learning Systems. Chapter 11. Approximation in the Dynamics of Chaotic Maps using Modified Mann Orbit. Chapter 12. Harnessing Physics-Informed Neural Networks to Model Real-World Transport Processes. Chapter 13. Content Marketing Performance Measurement Through OWA Operator.