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.
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