Haldar Decomposition Analysis Method in Linear and Non-Linear Differential Equations

Erscheinungsjahr 2015
ISBN: 978-1-4987-1634-5
Verlag: CRC Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 290 Seiten

The Adomian decomposition method (ADM) is a semi-analytical method capable of solving partial and ordinary nonlinear differential equations. This book shows how ADM can be used to solve problems formulated to depict real-life situations in physical world. Through various elaborate examples, ADM is illustrated here as capable of solving all types of differential equations for the series solutions of fundamental problems of physics, astrophysics, chemistry, biology, medicine and other disciplines of science.

Autoren/Hrsg.

Haldar, Kansari

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Zahlensysteme
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Decomposition Method. Asympotic Decomposition. Bessel’s Equation. Navier-Stokes Equations in Cartesian Coordinates. Navier-Stokes Equations in Polar Coordinates. Blood Flow in Artery. Steady Subsonic Flow. Steady Transonic Flow. Laplace’s Equation in Polar Coordinates.

Über Autor(innen)

Prof. Haldar began his career with fluid and gas dynamics. His thesis provided him expertise in high-speed gas dynamics. Afterwards, he switched to fluid dynamics, biofluid dynamics, biomagnetofluid dynamics and Adomian’s decomposition methodology. This book is a collection of all the problems he had worked on throughout his research career. The idea is to put the published works as a collection for students, scholars and researchers. A research career of more than 35 years have been quite a handsome length of time to help him gain a deep and thorough insight into the fundamental problems of hydrodynamics. His independent research career began with his appointment as a lecturer at Indian Statistical Institute, Kolkata. Since then, he has worked on several fundamental aspects of hydrodynamics, which were published in reputed international journals.