Modelling with differential equations is an effective tool to provide methodical and quantitative solutions to real-world phenomena including investigating measurable features, consolidation and processing of data, and to design and develop complex engineering systems. This book describes differential equations correlation with qualitative and quantitative analysis, and mathematical modelling in the engineering and applied sciences. Given equations are explained from multidimensional characterizations with MATLAB codes.
Features:
- Addresses differential equation-based approaches to solve varied engineering problems.
- Discusses derivation and solution of major equations of engineering and applied science.
- Reviews qualitative and quantitative (numerical) analysis and mathematical modelling.
- Includes mathematical models of the discussed problems.
- Discusses MATLAB code and online materials related to the differential equations.
This book is aimed at researchers, graduate students in electrical and electronics engineering, control systems, electron devices society, applied physics, engineering design.
About the Author:
Dr. Papiya Debnath completed Masters of Science in Applied Mathematics from Indian Institute of Engineering Science and Technology, Shibpur in 2006. She received M.Phil degree in Applied Mathematics from University of Calcutta, India in 2009 and PhD in Applied Mathematics from University of Calcutta in 2019. Presently Dr. Debnath is working as an Assistant Professor in Department of Basic Science and Humanities (Mathematics), at Techno International New Town (under Techno India Group), Kolkata, India. She has almost 15 years of experience in teaching, research and administration. She has published more than 25 papers in National, International Journals and conference proceedings. Presently Dr. Debnath is serving as a Guest Editor of the journal WSEAS Transactions on Mathematics (SCOPUS Indexed). Dr. Debnath has chaired different International Conferences in India. Her research interest lies in Mathematical Modelling and Simulation, Mathematical Computing, Earthquake Prediction, Machine Learning and Data Science. She is active in reviewing Open Mathematics- De Gruyter (SCIE, SCOPUS Indexed), Geomate (SCOPUS Indexed), Circuit World (SCOPUS Indexed) and many other national/international journals. Recently she is actively engaged with few IEEE conferences in IEEE R10 regions.
Dr. Biswajit Sarkar is currently an Associate Professor in the Department of Industrial Engineering, Yonsei University, South Korea. He has completed his Bachelor and Master's in Applied Mathematics in 2002 and 2004, respectively from Jadavpur University, India. He has received his Master of Philosophy in the application of Boolean Polynomials from the Annamalai University, India in 2008, Doctor of Philosophy from the Jadavpur University, India in 2010 in Operations Research, and Post-Doctorate from the Pusan National University, South Korea (2012-2013). He has dedicated his teaching and research abilities in various universities including Hanyang University, South Korea (2014-2019), Vidyasagar University, India (2010-2014), and Darjeeling Government College, India (2009-2010). He has worked as a Visiting Researcher in Tecnológico de Monterrey, Mexico in 2018. He has received eleven research projects. Between them, two projects are ongoing, and rests have been completed. Under his supervision, sixteen students have been awarded their PhDs and three students have been awarded their masters. Five students are continuing their PhD under his supervision. Under his guidance, four PhD thesis have received best thesis award from the Hanyang University, South Korea during 2018 2019. Since 2010, he has published 180 journal articles in reputed journals of Applied Mathematics and Industrial Engineering, and he has published three books. According to the SciVal 2020, Prof. Sarkar is the best active author in the topic cluster of the Supply Chain, Supply Chain Management, Industry during 2017 2020. According to Scopus, Prof. Sarkar is also the best active author in the sub-topic cluster in the field of Vendor Managed Inventory, Integrated Inventory Model, Consignment Stock. According to the Google Scholar, his total citation is 4788 and h-index is 41. He is the editorial board member of some reputed international journals of Applied Mathematics and Industrial Engineering. He is the Topic Editor of the SCIE indexed journal Energies. He has served as the Guest Editor of five special issues of some SCIE indexed journals. He is the member of several learned societies as Korean Society of Industrial Engineering, Calcutta Mathematical Society and more. In 2014, his paper is selected as the best research paper in an international conference in South Korea. He has presented several research papers in international conferences as an Invited Speaker and chaired several sessions in several international conferences. He has received a bronze medal for his capstone achievement from the Hanyang University in 2016. He is the recipient of Bharat Vikash award as a young scientist from India in 2016. He has received an International award from Korean Institute of Industrial Engineers in 2017 at KAIST, Daejon, South Korea. He is the recipient of the Hanyang University Academic Award as one of the most productive researchers in 2017 and 2018 consecutively. He has received the Top 100 International Distinguished Researchers 2020, Top 50 International Distinguished Young Researchers 2020, and Top 100 International Distinguished Educators 2020 from India in 2020.
Dr. Manash Chanda graduated in Electronics and Communication Engineering from the Kalyani Govt. Engineering College in 2005. He obtained his M.Tech degree in VLSI and Microelectronics from Jadavpur University. He completed Ph. D in Engineering from ETCE Dept., Jadavpur University in 2018.At present; he is working as Assistant Professor in the Department of ECE, Meghnad Saha Institute of Technology since February 2006. He is a Member of IEEE and is currently Member of IEEE Electron Device Society and Solid State Circuit Society. Dr. Chanda is co-founder of IEEE Student Branch and ED MSIT Student Branch Chapter. At present, he is the Chapter Advisor of ED Meghnad Saha Institute of Technology Student Branch Chapter. Also, He is the Vice-Chairman of ED Kolkata Chapter. He served as the Secretary of IEEE ED MSIT SBC from January, 2018 to Dec, 2019. His current research interest span around the study of analytical modeling of sub 100-nm MOSFETs and nano devices considering quantum mechanical effects, Low power VLSI designs, SPICE modeling of nano-scale devices, Memory designs etc. He has published more than 75 papers in refereed International Journals of reputed publishers and IEEE conferences. He is the Reviewer of many reputed International Journals and Conferences. He is the recipient of University Gold medal in M. Tech from Jadavpur University in 2008. One of his projects was selected in Top 10 VLSI project design category (including B. Tech and M.Tech) in all over INDIA, organized by CADENCE DESIGN CONTEST, BANGALORE, India in 2010.
