This book covers tools and techniques used for developing mathematical methods and modelling related to real-life situations. It brings forward significant aspects of mathematical research by using different mathematical methods such as analytical, computational, and numerical with relevance or applications in engineering and applied sciences.
- Presents theory, methods, and applications in a balanced manner
- Includes the basic developments with full details
- Contains the most recent advances and offers enough references for further study
- Written in a self-contained style and provides proof of necessary results
- Offers research problems to help early career researchers prepare research proposals
Mathematical Methods in Engineering and Applied Sciences makes available for the audience, several relevant topics in one place necessary for crucial understanding of research problems of an applied nature. This should attract the attention of general readers, mathematicians, and engineers interested in new tools and techniques required for developing more accurate mathematical methods and modelling corresponding to real-life situations.
Table of Contents
1. Semi-Analytical Source (SAS) Method for Heat Conduction Problems with Moving Heat Source. 2. Complete Synchronization of a Time-Fractional Reaction–Diffusion System with Lorenz Nonlinearities. 3. Oblique Scattering by Thin Vertical Barriers in Water of Finite Depth. 4. Existence of Periodic Solutions for First-Order Difference Equations Subjected to Allee Effects. 5. Numerical Investigation of Heat Flow and Fluid Flow in a Solar Water Heater with an Evacuated-Tube Collector. 6. Point Potential in Wave Scattering. 7. Complete Synchronization of Hybrid Spatio-Temporal Chaotic Systems. 8. Statistical and Exact Analysis of MHD Flow Due to Hybrid Nanoparticles Suspended in C2H6O2-H2O Hybrid Base Fluid. 9. Lyapunov Functionals and Stochastic Stability Analyses for Highly Random Nonlinear Functional Epidemic Dynamical Systems with Multiple Distributed Delays. 10. Linear Multistep Method with Application to Chaotic Processes.
Dr. Hemen Dutta has been serving as teaching faculty member in mathematics at Gauhati University, India. He has to his credit over 80 research papers, 15 book chapters and 10 books so far. He has acted as resourceful person in different academic activities and delivered invited talks at national and international levels. He has visited several foreign countries on invitations and delivered talks.