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.
