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Solving Frontier Problems of Physics: The Decomposition Method (Hardcover, 1994 ed.)
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Solving Frontier Problems of Physics: The Decomposition Method (Hardcover, 1994 ed.)
Series: Fundamental Theories of Physics, 60
Expected to ship within 18 - 22 working days
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The Adomian decomposition method enables the accurate and efficient
analytic solution of nonlinear ordinary or partial differential
equations without the need to resort to linearization or
perturbation approaches. It unifies the treatment of linear and
nonlinear, ordinary or partial differential equations, or systems
of such equations, into a single basic method, which is applicable
to both initial and boundary-value problems. This volume deals with
the application of this method to many problems of physics,
including some frontier problems which have previously required
much more computationally-intensive approaches. The opening
chapters deal with various fundamental aspects of the decomposition
method. Subsequent chapters deal with the application of the method
to nonlinear oscillatory systems in physics, the Duffing equation,
boundary-value problems with closed irregular contours or surfaces,
and other frontier areas. The potential application of this method
to a wide range of problems in diverse disciplines such as biology,
hydrology, semiconductor physics, wave propagation, etc., is
highlighted. For researchers and graduate students of physics,
applied mathematics and engineering, whose work involves
mathematical modelling and the quantitative solution of systems of
equations.
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