Mathematical Modelling, Applied Analysis and Computation (eBook)

This book contains original research papers presented at the International Conference on Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur, India, on 6-8 July, 2018. Organized into 20 chapters, the book focuses on theoretical and applied aspects of various types of mathematical modelling such as equations of various types, fuzzy mathematical models, automata, Petri nets and bond graphs for systems of dynamic nature and the usage of numerical techniques in handling modern problems of science, engineering and finance. It covers the applications of mathematical modelling in physics, chemistry, biology, mechanical engineering, civil engineering, computer science, social science and finance. A wide variety of dynamical systems like deterministic, stochastic, continuous, discrete or hybrid, with respect to time, are discussed in the book. It provides the mathematical modelling of various problems arising in science and engineering, and also new efficient numerical approaches for solving linear and nonlinear problems and rigorous mathematical theories, which can be used to analyze a different kind of mathematical models.

The conference was aimed at fostering cooperation among students and researchers in areas of applied analysis, engineering and computation with the deliberations to inculcate new research ideas in their relevant fields. This volume will provide a comprehensive introduction to recent theories and applications of mathematical modelling and numerical simulation, which will be a valuable resource for graduate students and researchers of mathematical modelling and industrial mathematics.

JAGDEV SINGH is Associate Professor and Head of the Department of Mathematics, JECRC University, Jaipur, India. He earned his PhD in mathematics from the University of Rajasthan, India. He is a member of editorial board of various journals of mathematics and has published three books and over 118 research papers in journals of repute with h-index of 27. He has research interests in mathematical modelling, special functions, fractional calculus, fluid dynamics, analytical and numerical methods.

DEVENDRA KUMAR is Associate Professor at the Department of Mathematics, University of Rajasthan, Jaipur, India. He earned his PhD in mathematics from University of Rajasthan, India. With h-index of 26, he is a member of editorial board of various journals of mathematics and has published two books and 121 research papers in journals of repute. He has research interests in mathematical modelling, special functions, fractional calculus, applied functional analysis, nonlinear dynamics, analytical and numerical methods.

HEMEN DUTTA is Assistant Professor at the Department of Mathematics, Gauhati University, India. He obtained his PhD in mathematics from Gauhati University. He has published four books and over 60 research papers in several journals of repute, and visited several foreign institutions in connection with research collaboration and conferences. He is a member on the editorial board of several journals of repute and a reviewer for some databases and journals of mathematics. He is a member of several mathematical societies and served as joint secretary (honorary) of the Assam Academy of Mathematics for two years. His main research interests are summability theory, functional equations, stability analysis, fixed point theory and modelling.

DUMITRU BALEANU is Professor at the Department of Mathematics, Cankaya University, Ankara, Turkey, and Institute of Space Sciences, Magurele-Bucharest, Romania. He is Editor-in-Chief of the Progress of Fractional Differentiation and Applications and on the editorial boards of several journals of repute. With h-index of 46, Dumitru has received more than 8000 citations in journals covered by SCI. He was on the Thompson Reuter list of highly cited researchers in 2015, 2016, 2017 and 2018. He has published more than 600 research papers in SCI-indexed journals and edited six books out of which five are published by Springer namely Fractional Dynamics and Control, Nonlinear and Complex Dynamics, Mathematical Methods in Engineering: Applications in Dynamics of Complex Systems, Discontinuity and Complexity in Nonlinear Physical Systems, and Mathematical Methods in Engineering: Theoretical Aspects. His research interest includes fractional calculus, discrete mathematics, quantisation of the systems with constraints, Hamilton-Jacobi formalism, geometries admitting generic and non-generic symmetries, chemometric techniques, wavelet method, and dynamic systems on time scales.

SUNIL DUTT PUROHIT is Associate Professor at the Department of Mathematics, Rajasthan Technical University, Kota, India. He earned his PhD in Mathematics from Jai Narayan Vyas University, Jodhpur, India. Currently, he is general-secretary of the Rajasthan Ganita Parishad and a member of several mathematical societies like Indian Mathematical Society, Indian Science Congress Association, the Indian Academy of Mathematics, the Society for Special Functions and their Applications, American Mathematical Society, and the International Association of Engineers. He has published two books and over 110 research papers in several journals of repute and is on the editorial board of various reputed journals. His research interests include mathematical analysis and modelling.

---

This book contains original research papers presented at the International Conference on Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur, India, on 6-8 July, 2018. Organized into 20 chapters, the book focuses on theoretical and applied aspects of various types of mathematical modelling such as equations of various types, fuzzy mathematical models, automata, Petri nets and bond graphs for systems of dynamic nature and the usage of numerical techniques in handling modern problems of science, engineering and finance. It covers the applications of mathematical modelling in physics, chemistry, biology, mechanical engineering, civil engineering, computer science, social science and finance. A wide variety of dynamical systems like deterministic, stochastic, continuous, discrete or hybrid, with respect to time, are discussed in the book. It provides the mathematical modelling of various problems arising in science and engineering, and also new efficient numerical approaches for solving linear and nonlinear problems and rigorous mathematical theories, which can be used to analyze a different kind of mathematical models. The conference was aimed at fostering cooperation among students and researchers in areas of applied analysis, engineering and computation with the deliberations to inculcate new research ideas in their relevant fields. This volume will provide a comprehensive introduction to recent theories and applications of mathematical modelling and numerical simulation, which will be a valuable resource for graduate students and researchers of mathematical modelling and industrial mathematics.