About the Book
Advances in Computational Methods and Modelling in Science and Engineering explores the application of computational techniques and modeling approaches in science and engineering, providing practical knowledge and skills for tackling complex problems using numerical simulations and data analysis. This book addresses the need for a cohesive and up-to-date resource in the rapidly evolving field of computational methods. It consolidates diverse topics, serving as a one-stop guide for individuals seeking a comprehensive understanding of the subject matter. Sections focus on mathematical techniques that provide global solutions for models arising in engineering and scientific research applications by considering their long-term benefits.
The mathematical treatment of these models is very helpful in understanding these models and their real-world applications. The methods and modeling techniques presented are useful for mathematicians, engineers, scientists, and researchers working on the mathematical treatment of models in a wide range of applications, including disciplines such as engineering, physics, chemistry, computer science, and applied mathematics.
Table of Contents:
Part A: Computational Methods
1. Exploring new Travelling and Solitary Wave Solutions of Conformable Fractional (3+1)-D BLMP Differential Equations
2. Numerical Investigation of Fractional-order Brain Tumor Growth Model via Fibonacci Wavelets
3. Application of Dynamical System Analysis in Cosmology
4. Polynomial Based Fractional Methods of Wavelets and Their Applications
5. A Numerical Study of Exponential Modified Cubic B-Spline For Solving Nonlinear Fisher’s Equation
6. Numerical Solution of Symmetric Regularised Long Wave Equation Arising in Mathematical Physics
7. Comparison of exponential and trigonometric B-spline collocation technique for simulation of singular perturbed delay differential equation
8. A systematic study on diversified Newtonian and Non-Newtonian fluids via numerous Mathematical Techniques
9. Computational analysis for the stress- strength on the reliability model
10. Instability of Casson fluid-viscous fluid interface
11. Remarks on nonlinear fractional differential equations
12. Exploring Chaotic Dynamics in a Modified Fractional System with Atangana-Baleanu Operator
13. Impact of viscous correction on the viscoelastic potential flow analysis of the Rayleigh-Taylor instability
14. Finite Element Modeling of MHD Flow in Alveolar Ducts
Part B: Mathematical Modelling and Optimization
15. The Fractional Order Lotka Volterra Competition Model: An Analysis with Additive Allee Effect
16. Modeling and Analyzing Delay in Plant Responses Under Toxicity
17. A Mathematical Study on the Effect of Coral-Algal Competition under Environmental Pressures in Aquatic Ecosystem
18. Effect of Time Delay on Directional and Stability analysis of Plant Competition for Allelochemicals Study
19. Harnessing the potentials of Machine Learning Models in Alzheimer Disease Prediction and Detection
20. Impact of deforestation and environmental degradation on Nipah virus outbreak: A critical review
21. Current Advances In Data-Driven Modeling And Computational Tools For Novel Materials
22. Onset of bioconvection in the presence of magnetic nanoparticles and gyrotactic microorganisms in porous media
23. Predicting Diabetes Using Artificial Neural Networks (ANN) and K-Nearest Neighbors (KNN)
24. Real Coded GA for Finding Stable Structure of Two Small Molecules
25. Cost Optimization of a Batch Retrial Queue with Working Vacation
26. Future Now: Unleashing the potentials of Machine Learning in 6G
About the Author :
Dr. Hari M. Srivastava is Professor Emeritus in the Department of Mathematics and Statistics at the University of Victoria, British Columbia, Canada. He earned his Ph.D. degree in 1965 while he was a full-time member of the teaching faculty at the Jai Narain Vyas University of Jodhpur, India. Dr. Srivastava has held (and continues to hold) numerous Visiting, Honorary and Chair Professorships at many universities and research institutes in different parts of the world. Having received several D.Sc. (honoris causa) degrees as well as honorary memberships and fellowships of many scientific academies and scientific societies around the world, he is also actively associated editorially with numerous international scientific research journals as an Honorary or Advisory Editor or as an Editorial Board Member. He has also edited many Special Issues of scientific research journals as the Lead or Joint Guest Editor, including the MDPI journal Axioms, Mathematics, and Symmetry, the Elsevier journals, Journal of Computational and Applied Mathematics, Applied Mathematics and Computation, Chaos, Solitons & Fractals, Alexandria Engineering Journal, and Journal of King Saud University – Science, the Wiley journal, Mathematical Methods in the Applied Sciences, the Springer journals, Advances in Difference Equations, Journal of Inequalities and Applications, Fixed Point Theory and Applications, and Boundary Value Problems, the American Institute of Physics journal, Chaos: An Interdisciplinary Journal of Nonlinear Science, and the American Institute of Mathematical Sciences journal, AIMS Mathematics, among many others. Dr. Srivastava has been a Clarivate Analytics (Web of Science) Highly-Cited Researcher since 2015. Dr. Srivastava’s research interests include several areas of Pure and Applied Mathematical Sciences, such as Real and Complex Analysis, Fractional Calculus and Its Applications, Integral Equations and Transforms, Higher Transcendental Functions and Their Applications, q-Series and q-Polynomials, Analytic Number Theory, Analytic and Geometric Inequalities, Probability and Statistics, and Inventory Modeling and Optimization. He has published 36 books, monographs, and edited volumes, 36 book (and encyclopedia) chapters, 48 papers in international conference proceedings, and more than 1450 peer-reviewed international scientific research journal articles, as well as Forewords and Prefaces to many books and journals.
Dr. Geeta Arora is currently a Professor at the Department of Mathematics, Lovely Professional University, Punjab, India. She earned her Ph.D. degree from IIT Roorkee, India in 2011. Her research interests include Numerical Analysis, Partial Differential Equations and Wavelets. She has over eleven years of teaching experience and published around 50 research papers in both international and national Journals. She has authored 10 book chapters in national and international publications. Dr. Arora is the author of a two introductory mathematics books, Quick Calculations in Mathematics and Essential Statistics. Her area of applied research is the development of numerical methods and statistics.
Dr. Firdous A. Shah earned his post-graduate degree in pure mathematics from the University of Kashmir and a PhD in applied mathematics from the Central University, Jamia Millia Islamia, New Delhi, India. He is an associate professor of mathematics at the University of Kashmir, South Campus, India. His research interests include the theory of wavelets, time-frequency analysis, abstract harmonic analysis, sampling theory and applications of wavelets to signal processing and mathematical biology. He is the author/co-author of over 200 journal articles and has co-authored two books with Prof. Lokenath Debnath (University of Texas) on wavelet transforms and their applications, published by Birkhauser, Springer. Recently, he has authored another book entitled Wavelet Transforms: Kith and Kin, published by CRC Press. He has received numerous research grants from NBHM and SERB-DST, Govt. of India. He serves as an editorial board member of several reputed journals and is a lifetime member of several academic societies.
