Generalized Quasilinearization for Nonlinear Problems (Hardcover, 1998 ed.)

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)."

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 440
Release date:	2001
First published:	1998
Authors:	V. Lakshmikantham • A.S. Vatsala
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Hardcover
Pages:	278
Edition:	1998 ed.
ISBN-13:	978-0-7923-5038-5
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	0-7923-5038-3
Barcode:	9780792350385

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