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Uniform Convergence of a Monotone Iterative Method for a Nonlinear Reaction-Diffusion Problem

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Numerical Analysis and Its Applications (NAA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3401))

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Abstract

This paper deals with a monotone iterative method for solving a nonlinear parabolic reaction-diffusion problem. The monotone iterative method based on the method of upper and lower solutions is constructed. A rate of convergence of the method is estimated. Uniform convergence properties of the monotone iterative method are studied. Numerical experiments are presented.

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Author information

Authors and Affiliations

  1. Institute of Fundamental Sciences, Massey University, Private Bag 11-222, Palmerston North, New Zealand

    Igor Boglaev

Authors
  1. Igor Boglaev
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Editor information

Editors and Affiliations

  1. Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, Kowloon, P.O. Box, Hong Kong

    Zhilin Li

  2. Department of Mathematics, University of Rousse, 7017, Rousse, Bulgaria

    Lubin Vulkov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2005 Springer-Verlag Berlin Heidelberg

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Boglaev, I. (2005). Uniform Convergence of a Monotone Iterative Method for a Nonlinear Reaction-Diffusion Problem. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_1

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  • DOI: https://doi.org/10.1007/978-3-540-31852-1_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24937-5

  • Online ISBN: 978-3-540-31852-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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