Generalized Quasilinearization for Nonlinear Problems von Vatsala A.S. Lakshmikantham V.: New (2010)

Beschreibung

Print on Demand pp. 286. Bestandsnummer des Verk�ufers 5804442

Verk�ufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel: Generalized Quasilinearization for Nonlinear...

Verlag: Springer

Erscheinungsdatum: 2010

Einband: Softcover

Zustand: New

�ber diesen Titel

Inhaltsangabe:

The problems of modern society are complex, interdisciplinary and nonlin- ear. ~onlinear problems are therefore abundant in several diverse disciplines. Since explicit analytic solutions of nonlinear problems in terms of familiar, well- trained functions of analysis are rarely possible, one needs to exploit various approximate methods. There do exist a number of powerful procedures for ob- taining approximate solutions of nonlinear problems such as, Newton-Raphson method, Galerkins method, expansion methods, dynamic programming, itera- tive techniques, truncation methods, method of upper and lower bounds and Chapligin method, to name a few. Let us turn to the fruitful idea of Chapligin, see [27] (vol I), for obtaining approximate solutions of a nonlinear differential equation u' = f(t, u), u(O) = uo. Let fl' h be such that the solutions of 1t' = h (t, u), u(O) = uo, and u' = h(t,u), u(O) = uo are comparatively simple to solve, such as linear equations, and lower order equations. Suppose that we have h(t,u) s f(t,u) s h(t,u), for all (t,u).

Rese�a del editor:

The problems of modern society are complex, interdisciplinary and nonlin- ear. ~onlinear problems are therefore abundant in several diverse disciplines. Since explicit analytic solutions of nonlinear problems in terms of familiar, well- trained functions of analysis are rarely possible, one needs to exploit various approximate methods. There do exist a number of powerful procedures for ob- taining approximate solutions of nonlinear problems such as, Newton-Raphson method, Galerkins method, expansion methods, dynamic programming, itera- tive techniques, truncation methods, method of upper and lower bounds and Chapligin method, to name a few. Let us turn to the fruitful idea of Chapligin, see [27] (vol I), for obtaining approximate solutions of a nonlinear differential equation u' = f(t, u), u(O) = uo. Let fl' h be such that the solutions of 1t' = h (t, u), u(O) = uo, and u' = h(t,u), u(O) = uo are comparatively simple to solve, such as linear equations, and lower order equations. Suppose that we have h(t,u) s f(t,u) s h(t,u), for all (t,u).

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verwandte Artikel zu Generalized Quasilinearization for Nonlinear Problems

Generalized Quasilinearization for Nonlinear Problems

Vatsala A.S. Lakshmikantham V.

Neu - Softcover

Unternehmensdaten des Verk�ufers