|
Showing 1 - 1 of
1 matches in All Departments
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)."
|
You may like...
Midnights
Taylor Swift
CD
R418
Discovery Miles 4 180
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
|