Generalized Quasilinearization for Nonlinear Problems

V. Lakshmikantham, A. S. Vatsala

ISBN 10: 0792350383 / ISBN 13: 9780792350385

Verlag: SPRINGER NATURE, 1998

Beschreibung

Zustand: Sehr gut | Seiten: 278 | Sprache: Englisch | Produktart: Bücher.

Bestandsnummer des Verkäufers 3023505/202

Bibliografische Details

• Titel: Generalized Quasilinearization for Nonlinear Problems
• Verlag: SPRINGER NATURE
• Erscheinungsjahr: 1998
• Sprache: Englisch
• ISBN-10: 0792350383
• ISBN-13: 9780792350385
• Einband: Hardcover
• Zustand: Sehr gut

Über 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).