Monotone Finite Difference Schemes for Nonlinear Systems with Mixed Quasi-Monotonicity
Monotone Finite Difference Schemes for Nonlinear Systems with Mixed Quasi-Monotonicity
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DOI：
10.1006/jmaa.2001.7794
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发表时间：
2002-03
影响因子：
1.3
通讯作者：
Yuan-Ming Wang;B. Guo
中科院分区：
文献类型：
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作者：
Yuan-Ming Wang;B. Guo
对具有混合拟单调性的非线性方程组提出了单调差分格式。给出了相应离散问题的两个单调迭代过程，它们单调收敛于离散问题的拟解。极限是在一定条件下的精确解。构造了均匀网格上四阶精度的单调差分格式。数值结果与理论分析相吻合。
Monotone finite difference schemes are proposed for nonlinear systems with mixed quasi-monotonicity. Two monotone iteration processes for the corresponding discrete problems are presented, which converge monotonically to the quasi-solutions of the discrete problems. The limits are the exact solutions under some conditions. A monotone finite difference scheme on uniform mesh with the accuracy of fourth order is constructed. The numerical results coincide with theoretical analysis.