The extension of the quasilinearization method for nonlocal reaction diffusion equations (Q2784746)

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scientific article; zbMATH DE number 1732966
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The extension of the quasilinearization method for nonlocal reaction diffusion equations
scientific article; zbMATH DE number 1732966

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    5 January 2003
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    monotone sequences
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    rate of convergence
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    The extension of the quasilinearization method for nonlocal reaction diffusion equations (English)
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    In this paper the authors extend the method of quasilinearization to reaction diffusion equations with nonlocal conditions. The method yields monotone sequences which converge uniformly and monotonically to the unique solution of the nonlocal reaction diffusion equation. Furthermore, the rate of convergence is proved to be quadratic.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00016].
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