Mathematical Physics

Download E-books Solving Frontier Problems of Physics: The Decomposition Method (Fundamental Theories of Physics) PDF

By G. Adomian

The Adomian decomposition technique allows the actual and effective analytic answer of nonlinear usual or partial differential equations with no the necessity to hotel to linearization or perturbation methods. It unifies the therapy of linear and nonlinear, traditional or partial differential equations, or platforms of such equations, right into a unmarried uncomplicated process, that is appropriate to either preliminary and boundary-value difficulties.
This quantity bargains with the applying of this system to many difficulties of physics, together with a few frontier difficulties that have formerly required even more computationally-intensive ways.
the outlet chapters take care of quite a few primary facets of the decomposition technique. next chapters care for the appliance of the tactic to nonlinear oscillatory platforms in physics, the Duffing equation, boundary-value issues of closed abnormal contours or surfaces, and different frontier parts. the aptitude program of this technique to a variety of difficulties in various disciplines similar to biology, hydrology, semiconductor physics, wave propagation, etc., is highlighted.
For researchers and graduate scholars of physics, utilized arithmetic and engineering, whose paintings comprises mathematical modelling and the quantitative answer of structures of equations.

Show description

Read Online or Download Solving Frontier Problems of Physics: The Decomposition Method (Fundamental Theories of Physics) PDF

Similar Mathematical Physics books

Mathematical Methods for Physicists, Seventh Edition: A Comprehensive Guide

Now in its seventh version, Mathematical equipment for Physicists maintains to supply all of the mathematical equipment that aspiring scientists and engineers are inclined to stumble upon as scholars and starting researchers. This bestselling textual content presents mathematical kinfolk and their proofs necessary to the examine of physics and similar fields.

Chaos and Fractals: An Elementary Introduction

This e-book offers the reader with an straightforward creation to chaos and fractals, appropriate for college students with a history in undemanding algebra, with no assuming earlier coursework in calculus or physics. It introduces the major phenomena of chaos - aperiodicity, delicate dependence on preliminary stipulations, bifurcations - through basic iterated services.

Hyperbolic Dynamics and Brownian Motion: An Introduction (Oxford Mathematical Monographs)

Hyperbolic Dynamics and Brownian movement illustrates the interaction among exact domain names of arithmetic. there isn't any assumption that the reader is a expert in any of those domain names: basically simple wisdom of linear algebra, calculus and chance thought is needed. The content material will be summarized in 3 ways: to start with, this ebook offers an advent to hyperbolic geometry, according to the Lorentz staff.

Additional resources for Solving Frontier Problems of Physics: The Decomposition Method (Fundamental Theories of Physics)

Show sample text content

Rated 4.11 of 5 – based on 38 votes