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Uniform Convergent Monotone Iterates for Nonlinear Parabolic Reaction-Diffusion Systems

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Book cover Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 120))

Abstract

This paper deals with a uniform convergent monotone method for solving nonlinear singularly perturbed parabolic reaction-diffusion systems. The uniform convergence on a piecewise uniform mesh is established. Numerical experiments are presented.

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References

  1. Boglaev, I.: Monotone iterates for solving coupled systems of nonlinear parabolic equations. Computing 92, 65–95 (2011)

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Author information

Authors and Affiliations

  1. Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand

    Igor Boglaev

Authors
  1. Igor Boglaev
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Correspondence to Igor Boglaev .

Editor information

Editors and Affiliations

  1. Dept. of Mathematical Sciences, Tsinghua University, Beijing, China

    Zhongyi Huang

  2. Applied and Computational Mathematics, Beijing Computational Science Research Center, Beijing, China

    Martin Stynes

  3. Applied and Computational Mathematics, Beijing Computational Science Research Center, Beijing, China

    Zhimin Zhang

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Boglaev, I. (2017). Uniform Convergent Monotone Iterates for Nonlinear Parabolic Reaction-Diffusion Systems. In: Huang, Z., Stynes, M., Zhang, Z. (eds) Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016. Lecture Notes in Computational Science and Engineering, vol 120. Springer, Cham. https://doi.org/10.1007/978-3-319-67202-1_3

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