1st Edition
Applications of Differential Transform to Real World Problems
This book is an invaluable resource for applied researchers to find the analytical solution of differential equations describing the dynamical system with less computational effort and time. It describes the basic concepts of the differential transform method and solution of various real-world problems described by simple to complicated differential equations. It provides a computational technique that is not only conceptually simple and easy to use but also readily adaptable for computer coding. Different chapters of the book deal with the basic differential equations involved in the physical phenomena as well as a complicated system of differential equations described by the mathematical model.
The book offers comprehensive coverage of the most essential topics, including
- Basic concepts and fundamental properties of the proposed technique with proof
- The solution of linear, nonlinear, homogeneous, and nonhomogeneous ordinary differential equations (ODEs) and partial differential equations (PDEs)
- The initial and boundary value problems
- Real-world ODE and PDE problems are also discussed
Applications of Differential Transform to Real World Problems is primarily aimed at undergraduates, graduates, and researchers studying differential equations. Scientists dealing with complicated differential equations or systems of differential equations will also find this book useful.
Preface. Authors. Chapter 1 One-Dimensional Differential Transform Method. Chapter 2 Application of the One-Dimensional Differential Transform Method to Solve Real-World Problems. Chapter 3 Solution of a System of Differential Equations by the One Dimensional Differential Transform Method. Chapter 4 A Coupled System of Ordinary Differential Equations–Based Real-World Problems and Its Solution by the One Dimensional Differential Transform Method. Chapter 5 Two-Dimensional Differential Transform Method. Chapter 6 Application of the Differential Transform Method to a System of Partial Differential Equations. Chapter 7 Solution of a Partial Differential Equation Describing Transport Phenomena by the Differential Transform Method. Chapter 8 A Compartment Model of the Reaction Diffusion Mechanism in Cell 42 and Its Solution Using the Differential Transform Method. Chapter 9 An Application of the Differential Transform Method to Solve Partial Differential Equation–Based Real-World Problems. Chapter 10 Analytical Solutions Using the Differential Transform Method and Their Convergence. Index.
Biography
Dr. Yogeshwari Patel is working as an Assistant Professor at the Department of Mathematics, P D Patel Institute of Applied Sciences, Changa, Anand. She did his B.Sc. from Tolani College of Arts & Science ,Gujarat University and received her M.Sc. degree in Mathematics from The M.S.University of Baroda .She was awarded the Ph.D. degree in Mathematics from Applied Mathematics and Humanities, SVNIT,Surat in 2018. Her thesis was concerned with "Application of Differential Transform Method to Compartment Modelling "in 2018. Her area of research is Mathematical Modeling and Computation Method .She has published and presented paper in various reputed national and international journals. The article details can be found in the following link:https://orcid.org/0000-0002-3355-2528.
Dr. Jayesh M. Dhodiya is working as an Associate Professor at the Department of Applied Mathematics and Humanities,SVNIT,Surat. He did his B.Sc. from Bardoli P.G.Science College Bardoli and received his M.Sc. degree in Mathematics from Department of Mathematics South Gujarat University Surat, Gujarat, he received his B.Ed. degree from Veer Narmad South Gujarat University Surat. He was awarded the Ph.D. degree in Mathematics from Department of Mathematics, Veer Narmad South Gujarat University Surat in 2009. His thesis was concerned with "Development of Mathematical Model for optimum cropping pattern and of knowledge management system in crop management". He has cleared Gujarat Public Service Commission examination for Mathematics in (2010). He has a total of 15.8 years of teaching experience. His area of research is Operation Research, Mathematical Modeling and Simulation, Computing, Knowledge Management.He has published and presented paper in various reputed national and international journals.He has guided 6 PhD students , one M.Phil student and twenty seven M.Sc dissertation.He is teaching various subject like Engineering Mathematics, Mathematical Modeling and Simulation, Discrete Mathematics, Operation Research, Quantitative Methods Courses Taught Master of Science, Master of Computer Application, Master of Business Administration, Bachelor of Technology, Bachelor of Pharmacy, Bio Technology, Bachelor of Computer Application, Bachelor of Business Administration.He has also published three books entitle Total Quality Management in Global education System, International Book "Navigating Globalization on through Quality Initiatives,Quality Management with Automatic Data collection with Web source, International Book Innovation Management and Entrepreneurship,Information Communication Technology Based Structure for Business Intelligence, International Book Innovation Management and Entrepreneurship.He is active member of many professional society like Gwalior Academy of Mathematical Sciences,SRM Membership etc.He has also organize many workshop,STTP,National and International conferences.The article details can be found in the following link: https://sites.google.com/view/drjayeshmdhodiya/home.
