The Adomian decomposition method solves partial differential equations that arise in physical models without using prior simplification linearization or perturbation while permitting only restrictive assumptions which otherwise would change the physical behavior of the models. The method is applied to Bessel’s functions, Navier-Stokes equations in Cartesian and cylindrical polar coordinates, blood flow through arteries, subsonic flow past a wavy wall, steady transonic flow, Laplace’s equation for a circular disc, and flow near a rotating disc in a fluid at rest. An appendix reviews the equations of motion in different coordinate systems. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)
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.
Number of Pages: 273
Sub-Genre: Number Systems, Differential Equations, Applied
Publisher: Taylor & Francis
Author: Kansari Haldar
Street Date: October 16, 2015
Item Number (DPCI): 247-50-8343