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Volume 18, Issue 2
Monotone Approximation to a System Without Monotone Nonlinearity

Yuan-Ming Wang & Ben-Yu Guo

J. Comp. Math., 18 (2000), pp. 207-224.

Published online: 2000-04

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  • 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.

  • Keywords

Monotone approximation, Systems without monotone nonlinearity.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-207, author = {Wang , Yuan-Ming and Guo , Ben-Yu}, title = {Monotone Approximation to a System Without Monotone Nonlinearity}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9036.html} }
TY - JOUR T1 - Monotone Approximation to a System Without Monotone Nonlinearity AU - Wang , Yuan-Ming AU - Guo , Ben-Yu JO - Journal of Computational Mathematics VL - 2 SP - 207 EP - 224 PY - 2000 DA - 2000/04 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9036.html KW - Monotone approximation, Systems without monotone nonlinearity. AB -

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.

Wang , Yuan-Ming and Guo , Ben-Yu. (2000). Monotone Approximation to a System Without Monotone Nonlinearity. Journal of Computational Mathematics. 18 (2). 207-224. doi:
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