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 - <p style="text-align: justify;">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.</p>