Applications of differential transform to real world problems /
Yogeshwari F. Patel and Jayesh M. Dhodiya.
- First edition.
- xi, 294 pages ; 26 cm.
Includes bibliographical references and index.
One-dimensional differential transform method -- Application of the one-dimensional differential transform method to solve real-world problems -- Solution of a system of differential equations by the one dimensional differential transform method -- A coupled system of ordinary differential equations-based real-world problems and its solution by the one dimensional differential transform method -- Two-dimensional differential transform method -- Application of the differential transform method to a system of partial differential equations -- Solution of a partial differential equation describing transport phenomena by the differential transform method -- A compartment model of the reaction diffusion mechanism in cell 42 and its solution using the differential transform method -- An application of the differential transform method to solve partial differential equation-based real-world problems -- Analytical solutions using the differential transform method and their convergence.
"Applications of Differential Transform to Real World Problems 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. This book describes the basic concepts of differential transform method and solution of various real-world problems describe by simple to complicated differential equations. This book provides a computational technique which is not only conceptually simple and easy to use but also readily adaptable for computer coding. Different chapters of the book deals with the basic differential equation involve in the physical phenomena as well complicated system of differential described by the mathematical model"--