Decomposition analysis method in linear and nonlinear differential equations / Kansari Haldar.

Includes bibliographical references and index.

1. Decomposition method --
2. Asymptotic decomposition --
3. Bessel's equation --
4. Navier-Stokes equations in Cartesian coordinates --
5. Navier-Stokes equations in cylindrical polar coordinates --
6. Blood flow in artery --
7. Steady subsonic flow --
8. Steady transonic flow --
9. Laplace's equation --
10. Flow near a rotating disc in a fluid at rest.

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.