MONOTONE APPROXIMATION TO A SYSTEM WITHOUT MONOTONE NONLINEARITY

• 来源期刊: 计算数学（英文版）
• 关键词: Monotone approximation Systems without monotone nonlinearity.
• 年，卷（期）: 2000,（2）
• 页码范围: 207-224
• 页数: 18页
• 语种: 英文

摘要

A monotone approximation is proposed for a system without monotone non linearity. A new concept of ordered pair of supersolution and subsolution is intro duced, 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.