THE PREDICTION-CORRECTION LEGENDRE COLLOCATION METHOD FOR NONLINEAR EVOLUTIONARY PROBLEMS

• 来源期刊: 计算数学（英文版）
• 关键词: Burgers equation Prediction-correction operator Legendre collocation approximation Convergence Numerical results.
• 年，卷（期）: 2004,（5）
• 页码范围: 753-768
• 页数: 16页
• 语种: 英文

摘要

The initial-boundary value problem of Burgers equation is considered. A predictioncorrection Legendre collocation scheme is presented, which is easy to be performed. Its numerical solution possesses the accuracy of second-order in time and higher order in space. Numerical results are reported, which show the high accuracy of this approach. The techniques used in this paper are also applicable to other nonlinear evolutionary problems.