Approximate Analytical Methods for Solving Ordinary Differential Equations

Book Details

• Author: T.S.L Radhika, T. Iyengar, T. Rani

• Publisher: CRC Press

• Edition: 1

• Binding: Hardcover

• Format: Illustrated

• Number of Pages: 200

• Release Date: 21-11-2014

• ISBN: 9781466588158

• Language: English

About The Book

Approximate Analytical Methods for Solving Ordinary Differential Equations (ODEs) offers a comprehensive guide to solving ordinary differential equations using approximate methods, presenting a complete spectrum of available techniques in one place. The book is designed to make these methods accessible, eliminating the need for readers to sift through multiple resources. It covers both well-established methods and newer, innovative procedures, including the classical series solution method, perturbation methods, asymptotic methods, and the cutting-edge homotopy methods.

This text is perfect for mathematicians, engineers, biologists, physicists, and economists, providing practical and applicable solutions without delving too deeply into complex mathematical theories. The methods are explained with clarity, and real-world examples demonstrate their practical applications in solving diverse problems. From the classical power series method to perturbation techniques and the multiple-scale approach, the book equips readers with the tools needed to solve complex differential equations, including those that involve rapid oscillations or sudden changes in behavior.

The final chapters introduce nonperturbation methods, broadening the range of solvable problems, while homotopy methods show how topology-based analytical techniques can solve a wider class of ODEs. Whether you're solving a basic equation or addressing complex real-world challenges, this book offers invaluable insights and solutions for a broad audience.