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Generalized Quasilinearization for Nonlinear Problems

- Criticism of the Works of Novelists, Poets, Playwrights, Short-Story Writers, and Other Creative Writers Who Liv (1998)

  • Format
  • Bog, hardback
  • Engelsk

Beskrivelse

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).

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Detaljer
  • SprogEngelsk
  • Sidetal278
  • Udgivelsesdato31-05-1998
  • ISBN139780792350385
  • Forlag Springer
  • Nummer i serien440
  • FormatHardback
Størrelse og vægt
  • Vægt1310 g
  • Dybde2,7 cm
  • coffee cup img
    10 cm
    book img
    15,5 cm
    23,5 cm

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