By G. Adomian
The Adomian decomposition process permits the exact and effective analytic answer of nonlinear traditional or partial differential equations with no the necessity to hotel to linearization or perturbation techniques. It unifies the remedy of linear and nonlinear, traditional or partial differential equations, or structures of such equations, right into a unmarried simple process, that is acceptable to either preliminary and boundary-value difficulties.
This quantity bargains with the appliance of this technique to many difficulties of physics, together with a few frontier difficulties that have formerly required even more computationally-intensive methods.
the outlet chapters take care of a number of primary elements of the decomposition process. 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 capability software of this system to quite a lot of difficulties in different disciplines comparable to biology, hydrology, semiconductor physics, wave propagation, etc., is highlighted.
For researchers and graduate scholars of physics, utilized arithmetic and engineering, whose paintings includes mathematical modelling and the quantitative resolution of platforms of equations.