Recent Advances in Mathematics for Engineering

In recent years, mathematics has experienced amazing growth in the engineering sciences. Mathematics forms the common foundation of all engineering disciplines. This book provides a comprehensive range of mathematics applied in various fields of engineering for different tasks such as civil engineering, structural engineering, computer science, and electrical engineering, among others. It offers chapters that develop the applications of mathematics in engineering sciences, conveys the innovative research ideas, offers real-world utility of mathematics, and has a significance in the life of academics, practitioners, researchers, and industry leaders.FeaturesFocuses on the latest research in the field of engineering applicationsIncludes recent findings from various institutionsIdentifies the gaps in the knowledge in the field and provides the latest approachesPresents international studies and findings in modeling and simulationOffers various mathematical tools, techniques, strategies, and methods across different engineering fields

Chapter 1 Statistical Techniques and Stochastic Modeling in Public Health Surveillance Systems EngineeringEmmanouil-Nektarios Kalligeris, Alex Karagrigoriou, Christina Parpoula, and Angeliki LambrouChapter 2 Assessment of Earthquake Hazard Based on Statistical Models, Probability Theory, and Nonlinear Analysis Nitish Puri and Ashwani JainChapter 3 Multi-Model Approach in the Risk Assessment Tasks with Satellite Data Utilization Yuriy V. Kostyuchenko, Maxim Yuschenko, Lesia Elistratova, and Igor ArtemenkoChapter 4 Integral Transforms and Parseval–Goldstein-Type Relationships Osman Y¨urekliChapter 5 Numerical Solution of Cauchy and Hypersingular Integral Equations Vaishali SharmaChapter 6 Krylov Subspace Methods for Numerically Solving Partial Differential EquationsSantosh Dubey, Sanjeev K. Singh, and Anter El-AzabChapter 7 The (2+1) Dimensional Nonlinear Sine–Gordon Soliton Waves and its Numerical Simulations Mohammad Tamsir and Neeraj DhimanChapter 8 Dynamical Complexity of Patchy Invasion in Prey–Predator ModelRamu Dubey and Teekam SinghChapter 9 Developments in Runge–Kutta Method to Solve Ordinary Differential EquationsGeeta Arora, Varun Joshi, and Isa Sani GarkiChapter 10 A Criterion Space Decomposition Method for a Tri-objective Integer Program Masar Al-Rabeeah, Ali Al-Hasani, Santosh Kumar, and Andrew EberhardChapter 11 Link-Weight Modification for Network Optimization: Is it a Tool, Philosophy, or an Art? Santosh Kumar, Elias Munapo, Maseka Lesaoana, Philimon Nyamugure, and Phillemon DikgaleChapter 12 Residual Domain-Rich Models and their Application in Distinguishing Photo-Realistic and Photographic Images Prakhar Pradhan, Vinay Verma, Sharad Joshi, Mohit Lamba, and Nitin KhannaChapter 13 Swirling Subsonic Annular Circular Jets Gopinath Shanmugaraj, Sahil Garg, and Mohit PantChapter 14 Computations of Linear Programming Problems in IntegersSunil Kumar and Seema SainiChapter 15 Fuzzy EOQ Model with Reliability-Induced Demand and Defuzzification by Graded Mean IntegrationNeelanjana Rajput, R.K. Pandey, and Anand ChauhanChapter 16 Inventory Model for Decaying Products with Shortages and Inflation under Trade Credit in Two WarehousesDeo Datta Aarya, Mukesh Kumar, and S. J. Singh

Dr. Mangey Ram received the Ph.D. degree major in Mathematics and minor in Computer Science from G. B. Pant University of Agriculture and Technology, Pantnagar, India. He has been a Faculty Member for around eleven years and has taught several core courses in pure and applied mathematics at undergraduate, postgraduate, and doctorate levels. He is currently a Professor at Graphic Era (Deemed to be University), Dehradun, India. Before joining the Graphic Era, he was a Deputy Manager (Probationary Officer) with Syndicate Bank for a short period. He is Editor-in-Chief of International Journal of Mathematical, Engineering and Management Sciences and the Guest Editor & Member of the editorial board of various journals. He is a regular Reviewer for international journals, including IEEE, Elsevier, Springer, Emerald, John Wiley, Taylor & Francis and many other publishers. He has published 150 plus research publications in IEEE, Taylor & Francis, Springer, Elsevier, Emerald, World Scientific and many other national and international journals of repute and also presented his works at national and international conferences. His fields of research are reliability theory and applied mathematics. Dr. Ram is a Senior Member of the IEEE, life member of Operational Research Society of India, Society for Reliability Engineering, Quality and Operations Management in India, Indian Society of Industrial and Applied Mathematics, member of International Association of Engineers in Hong Kong, and Emerald Literati Network in the U.K. He has been a member of the organizing committee of a number of international and national conferences, seminars, and workshops. He has been conferred with "Young Scientist Award" by the Uttarakhand State Council for Science and Technology, Dehradun, in 2009. He has been awarded the "Best Faculty Award" in 2011; "Research Excellence Award" in 2015; and recently "Outstanding Researcher Award" in 2018 for his significant contribution in academics and research at Graphic Era Deemed to be University, Dehradun, India.