Year: 2011
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 4 : pp. 599–614
Abstract
This paper is concerned with solving nonlinear monotone difference schemes of the parabolic type. The monotone Jacobi and monotone Gauss-Seidel methods are constructed. Convergence rates of the methods are compared and estimated. The proposed methods are applied to solving nonlinear singularly perturbed parabolic problems. Uniform convergence of the monotone methods is proved. Numerical experiments complement the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-703
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 4 : pp. 599–614
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Nonlinear parabolic problem monotone iterative method singularly perturbed problem uniform convergence.