Decomposition Analysis Method in Linear and Nonlinear Differential Equations
Auteur : Haldar Kansari
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.
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.
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.
Date de parution : 10-2015
15.6x23.4 cm
Thèmes de Decomposition Analysis Method in Linear and Nonlinear... :
Mots-clés :
Inverse Operator; Ordinary Differential Equation; solving differential equations; Decomposition Method; Adomian decomposition method; Modified Decomposition Technique; fluid and gas dynamics; Regular Decomposition; theory of decomposition; Modified Decomposition Method; Navier–Stokes equations; Asymptotic Decomposition; decomposition analysis method; Cylindrical Polar Coordinates; Cartesian and polar coordinates; Partial Differential Equation; Double Decomposition; Navier Stokes Equations; Wavy Wall; Viscous Incompressible Fluid; Adomian’s Decomposition Method; Adomian’s Polynomials; Quasi-linear Partial Differential Equation; Cos Nx; Cauchy Product; Cos 2θ; Laplace Transform; Decomposition Procedure; K1 Cos 2θ; Constricted Artery; Subsonic Flow; Hartmann Number