Generalized quasilinearization method and rapid convergence for first order initial value problems

    Authors

    R. N. Mohapatra; K. Vajravelu;Y. Yin

    Comments

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    Abbreviated Journal Title

    J. Math. Anal. Appl.

    Keywords

    Mathematics, Applied; Mathematics

    Abstract

    We apply the generalized quasilinearization method of V. Lakshmikantham (Nonlinear Anal. 27 (1996), 223-227) and the extended method of R. N. Mohapatra, K. Vajravelu, and Y. Yin (J. Optim. Theory Appl., in press) to the first order initial value problem (IVP for short) x'(t) = f(f, x), x(0) = x(0), t is an element of J with wider class functions f and obtain rapid convergence of monotone sequences which converge uniformly to the unique solution of the IVP. (C) 1997 Academic Press.

    Journal Title

    Journal of Mathematical Analysis and Applications

    Volume

    207

    Issue/Number

    1

    Publication Date

    1-1-1997

    Document Type

    Article

    Language

    English

    First Page

    206

    Last Page

    219

    WOS Identifier

    WOS:A1997WM91900013

    ISSN

    0022-247X

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