Recent Trends in Applied Mathematics (eBook)

This book presents select proceedings of the International Conference on Applied Mathematics in Science and Engineering (AMSE 2019). Various topics covered include computational fluid dynamics, applications of differential equations in engineering, numerical methods for ODEs and PDEs, mathematical modeling and analysis of biological systems, optimal control and controllability of differential equations, fractional calculus and its applications, nonlinear analysis, and functional analysis.  This book will be of interest to researchers, academicians and students in the fields of applied sciences, mathematics and engineering. 

Dr. S.R. Mishra is an Associate Professor in the Department of Mathematics, Siksha 'O' Anusandhan (Deemed to be University), Bhubaneswar, India. He has completed his Ph.D. degree in the year of 2013 and published more than 84 papers in the national and international journals of repute. He has also guided 4 research scholars and currently guiding 5 scholars. His broad areas of research in the field are heat and mass transfer of various nanofluids, statistical analysis of various parameters using artificial neural network, etc. 

Prof. Dr. Tanka Nath Dhamala is working as the Full Professor in the Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal, and leading the research group of Optimization, Graph Theory, Scheduling Theory and Algorithms. He has supervised a number of Ph.D., M.Phil. and Master's degree students. He also held the position of the Head of Department in the Central Department of Computer Science and Technology, Tribhuvan University, in the years 2007-2013. He coordinated the MPhil Program in Mathematics at the Central Department of Mathematics, Tribhuvan University, from 2016 to 2019. 

Professor O.D. Makinde is presently a Distinguished Professor of Computational and Applied Mathematics at the Faculty of Military Science, Stellenbosch University, South Africa. He is also a visiting professor to several other universities, including the Vellore University of Technology in India; Nelson Mandela African Institute of Science and Technology in Tanzania; the Pan African University Institute for Basic Sciences, Technology and Innovation in Kenya; the African University of Science and Technology in Nigeria; the Adama Science and Technology University in Ethiopia, etc. He was a Full Professor & Head of Applied Mathematics Department at the University of Limpopo, South Africa (1998-2008), and Senior Professor & Director of Postgraduate Studies at the Cape Peninsula University of Technology, South Africa (2008-2013). He obtained his B.Sc. (Hons.) degree - First Class with Faculty Prize  M.Sc. degree qualifications in Mathematics from Obafemi Awolowo University in Nigeria and Ph.D. degree in Computational Applied Mathematics from the University of Bristol in UK under the prestigious Commonwealth Scholarship. Prof. Makinde's research work covers three broad areas which include fluid mechanics, mathematical biology and computational mathematics. He authored 4 Applied Mathematics textbooks & monographs, edited 6 advanced research textbooks on Heat Transfer in Fluids & Solids and published over 450 research papers in many reputable international journals worldwide. Prof. Makinde's scientific metrics according to Google Scholar show H-Index = 51, Citations Index = 10390 and i10-index = 229. This bibliometric statistic continues to increase due to high quality and global impact of his research work. He has supervised over 30 Ph.D.s.

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This book presents select proceedings of the International Conference on Applied Mathematics in Science and Engineering (AMSE 2019). Various topics covered include computational fluid dynamics, applications of differential equations in engineering, numerical methods for ODEs and PDEs, mathematical modeling and analysis of biological systems, optimal control and controllability of differential equations, fractional calculus and its applications, nonlinear analysis, and functional analysis.  This book will be of interest to researchers, academicians and students in the fields of applied sciences, mathematics and engineering.