Decomposition Analysis Method in Linear and Nonlinear Differential - Equation

List of contents

Decomposition Method. Asymptotic Decomposition. Bessel’s Equation. Navier-Stokes Equations in Cartesian Coordinates. Navier-Stokes Equations in Cylindrical Polar Coordinates. Blood Flow in Artery. Steady Subsonic Flow. Steady Transonic Flow. Laplace’s Equation. Flow Near a Rotating Disc in a Fluid at Rest. Appendix. Index.

About the author

Kansari Haldar retired as a professor from the Indian Statistical Institute, Kolkata. His work has spanned 35 years, covering fluid dynamics, gas dynamics, hydrodynamics, biofluid dynamics, biomagnetofluid dynamics, and Adomian’s decomposition methodology.

Summary

A Powerful Methodology for Solving All Types of Differential Equations
Decomposition Analysis Method in Linear and Non-Linear Differential Equations explains how the Adomian decomposition method can solve differential equations for the series solutions of fundamental problems in physics, astrophysics, chemistry, biology, medicine, and other scientific areas. This method is advantageous as it simplifies a real problem to reduce it to a mathematically tractable form.
The book covers the four classes of the decomposition method: regular/ordinary decomposition, double decomposition, modified decomposition, and asymptotic decomposition. It applies these classes to Laplace and Navier–Stokes equations in Cartesian and polar coordinates for obtaining partial solutions of the equations. Examples of physical and physiological problems, such as tidal waves in a channel, fluids between plates and through tubes, the flow of blood through arteries, and the flow past a wave-shaped wall, demonstrate the applications.
Drawing on the author’s extensive research in fluid and gas dynamics, this book shows how the powerful decomposition methodology of Adomian can solve differential equations in a way comparable to any contemporary superfast computer.

Product details

• Authors: Kansari Haldar, Kansari (Retired Professor Haldar, Haldar Kansari
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 31.10.2015
• EAN: 9781498716338
• ISBN: 978-1-4987-1633-8
• No. of pages: 274
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > General, dictionaries; MATHEMATICS / General, MATHEMATICS / Applied, MATHEMATICS / Number Systems, MATHEMATICS / Differential Equations / General, computer science, environmental science, engineering & technology, Differential calculus & equations, Information technology: general issues, Environmental science, engineering and technology, Information technology: general topics, Differential calculus and equations