This book is a compendium of the proceedings of the International Conference on Applied Analysis, Computation, and Mathematical Modelling in Engineering (AACMME-2021). The book covers a variety of applications such as mechanical, acoustical, physical, electrical, bio-mathematical, and computational fluid dynamics. Since mathematical modeling necessitates a wide range of skills and methods, the book concentrates on techniques that will be of specific interest to engineers, scientists, and those who work with discrete and continuous systems models. This book guides students, researchers, and professionals through the new approaches, the powerful tools for quickly mastering the most popular mathematical and computational models used in engineering and science. These new approaches enable readers to not only systematically create effective models, but also extend these models to any macroscopic physical structure.

Autorentext

Santanu Saha Ray is a Professor and Head in the Department of Mathematics, National Institute of Technology Rourkela, India. He earned his Ph.D. from Jadavpur University, India, in 2008. His research interests include fractional calculus, differential equations, wavelet transforms, stochastic differential equations, integral equations, nuclear reactor kinetics with simulation, numerical analysis, operations research, mathematical modeling, mathematical physics, and computer applications. He has published over 70 research papers in numerous fields and various international journals of repute.

Hossein Jafari is a Professor in the Department of Mathematical Sciences, University of South Africa. He got his B.Sc. degree from the University of Mazandaran, Babolsar, Iran, and M.Sc. degree from Tarbiat Modares University, Tehran, Iran, in 1998 and 2001, respectively. He earned his Ph.D. from Pune University, Pune, India, in 2006. He has got 3 books, 138 papers in journals, and 25 papers in conference proceedings published to his credit. He was the supervisor of more than 50 M.Sc. students. His current research interests include fractional differential equations and their applications, symmetries and conservation laws, new iterative methods, q-calculus, local fractional differential equations.

T. Raja Sekhar is an Associate Professor in the Department of Mathematics, Indian Institute of Technology Kharagpur, India. He earned his Ph.D. from the Indian Institute of Technology Bombay, India, in 2008. Presently, he is working on a quasilinear hyperbolic system of partial differential equations involving classical and non-classical nonlinear waves such as shock waves, rarefaction waves, contact discontinuities, delta shock waves, and nonlinear wave interactions. His research areas are theoretical and computational differential equations, groups of symmetries, analysis, and geometry. She has published several research papers in international journals and conference proceedings.

Suchandan Kayal is an Assistant Professor in the Department of Mathematics, National Institute of Technology Rourkela, India. He earned his Ph.D. from the Indian Institute of Technology Kharagpur, India, in 2011. His research interests include applied probability, statistical inference, statistical information theory, statistical decision theory, and order statistics. He has published several research papers in international journals and conference proceedings.

Inhalt

Comparative Study of Some Wavelet Based Numerical Methods to Solve Initial Values Problems.- Effects on MHD and Thermal Radiation on Unsteady Free Convective Flow of a Hybrid Nanofluid Past a Vertical Plate.- Rayleigh Streaming Past A Wavy Wall with no Slip Suction Under a Transverse Magnetic Field.- Non-Darcian Gravitactic Bioconvection with a Porous Saturated Vertical Vibration.- Impact of Two-Temperature on a Generalized Thermoelastic Plate with Thermal Loading.- Numerical Investigation of Baffle Spacing in a Shell and Tube Heat Exchanger with Segmental Baffle.- New Analytical Exact Solutions of time-fractional (2+1)-dimensional Calogero- Bogoyavlenskii-Schiff (CBS) Equations.- Nonlinear Convective Flow of Power-law Fluid Over an Inclined Plate with Double Dispersion Effects and Convective Thermal Boundary Condition.- Micropolar Fluid Flow Over a Frustum of Cone Subjected to Convective Boundary Condition: Darcy-Forchheimer Model.- Convergence and Comparison Theorems for Three-step Alternating Iteration Method for Rectangular Linear System.- Thermal Hydraulic Performance of Helical Baffle Shell and Tube Heat Exchanger Using RSM Method.- Soliton Solutions of Dual-mode Kawahara Equation via Lie Symmetry Analysis.