MONOTONE APPROXIMATION TO A SYSTEM WITHOUT MONOTONE NONLINEARITY

被引：0
|
作者：
Yuan-ming Wang (Department of Mathematics
机构：
来源：
JournalofComputationalMathematics | 2000年 / 02期
关键词：
Monotone approximation; Systems without monotone nonlineajrity;
D O I：
暂无
中图分类号：
O242 [数学模拟、近似计算];
学科分类号：
070102 ;
摘要：
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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页码：207 / 224
页数：18
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