ON THE L∞ CONVERGENCE AND THE EXTRAPOLATION METHOD OF A DIFFERENCE SCHEME FOR NONLOCAL PARABOLIC EQUATION WITH NATURAL BOUNDARY CONDITIONS

• 来源期刊: 计算数学(英文版)
• 学科: 数学
• 关键词: Parabolic Nonlocal L∞ convergence Extrapolation method.
• 年，卷（期）: 2001,（5）
• 页码范围: 449-458
• 页数: 10页
• 分类号: O1
• 语种: 英文

摘要

In paper [4] (J. Comput. Appl. Math., 76 (1996), 137-146), a difference scheme for a class of nonlocal parabolic equations with natural boundary conditions was derived by the method of reduction of order and the unique solvability and second order convergence in La-norm are proved. In this paper, we prove that the scheme is second order conver gent in L∞ norm and then obtain fourth order accuracy approximation in L∞ norm by extrapolation method. At last, one numerical example is presented.