Year: 2000
Author: Yuan-Ming Wang, Ben-Yu Guo
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 2 : pp. 207–224
Abstract
A monotone approximation is proposed for a system without monotone nonlinearity. A new concept of ordered pair of supersolution and subsolution is introduced, and then the existence of numerical solutions is studied. A new monotone iteration is provided for solving the resulting problem. An approximation with high accuracy is investigated. The corresponding iteration possesses geometric convergence rate. The numerical results support the theoretical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2000-JCM-9036
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 2 : pp. 207–224
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Monotone approximation Systems without monotone nonlinearity.