Generalized Quasilinearization for Nonlinear Problems
V. Lakshmikantham
(Author)
A. S. Vatsala
(Author)
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Description
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).
Product Details
Price
$195.49
Publisher
Springer
Publish Date
May 31, 1998
Pages
278
Dimensions
6.14 X 0.69 X 9.21 inches | 1.3 pounds
Language
English
Type
Hardcover
EAN/UPC
9780792350385
BISAC Categories:
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