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

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 L₂—norm are proved. In this paper, we...

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Bibliographic Details
Published in:Journal of computational mathematics 2001-09, Vol.19 (5), p.449-458
Main Authors: Wan, Zheng-su, Sun, Zhi-zhong
Format: Article
Language:English
Subjects:
Approximation
Boundary conditions
Computational mathematics
Convergent boundaries
Error rates
Mathematical extrapolation
Perceptron convergence procedure
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Summary: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 L₂—norm are proved. In this paper, we prove that the scheme is second order convergent in L∞ norm and then obtain fourth order accuracy approximation in L∞ norm by extrapolation method. At last, one numerical example is presented.
ISSN:0254-9409
1991-7139