Applications of Differential Transform to Real World Problems

The book provides a computational technique to find the analytical solution of differential equations, making it easier for applied researchers to solve real-world problems. It covers linear, nonlinear, homogeneous, and nonhomogeneous ODEs and PDEs, as well as initial and boundary value problems, and has applications in various fields.

Format: Hardback
Length: 294 pages
Publication date: 08 August 2022
Publisher: Taylor & Francis Ltd

This book is a priceless tool for applied researchers looking to find the analytical solution of differential equations that describe dynamical systems with minimal computational effort and time. It provides a comprehensive introduction to the differential transform method and its application to solving a wide range of real-world problems characterized by simple to complex differential equations. The book offers a computationally efficient technique that is both conceptually straightforward and user-friendly, making it easily adaptable for computer coding.

The book is organized into several chapters, each dedicated to a specific topic. The first chapter introduces the basic concepts and fundamental properties of the proposed technique, backed up by rigorous proof. It covers the solution of linear, nonlinear, homogeneous, and nonhomogeneous ordinary differential equations (ODEs) and partial differential equations (PDEs), as well as the initial and boundary value problems.

In the subsequent chapters, the book delves into real-world ODE and PDE problems, providing practical examples and applications of differential transform to solve complex systems. These chapters cover a wide range of topics, including engineering, physics, biology, and finance, showcasing the versatility and practicality of the proposed technique.

Designed primarily for undergraduates, graduates, and researchers studying differential equations, this book also serves as a valuable resource for scientists dealing with complicated differential equations or systems of differential equations. Its comprehensive coverage and clear explanations make it an essential tool for anyone seeking to advance their understanding of differential equations and their applications in various fields.

Weight: 725g
Dimension: 254 x 178 (mm)
ISBN-13: 9781032185224