@Article{JCM-19-5,
author = {Zheng-Su, Wan and Zhi-Zhong, Sun},
title = {On the $L_\infty$ Convergence and the Extrapolation Method of a Difference Scheme for Nonlocal Parabolic Equation with Natural Boundary Conditions},
journal = {Journal of Computational Mathematics},
year = {2001},
volume = {19},
number = {5},
pages = {449--458},
abstract = {<p style="text-align: justify;">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 $L_2$-norm are proved. In this paper, we prove that the scheme is second order convergent in $L_\infty$ norm and then obtain fourth order accuracy approximation in $L_\infty$ norm by extrapolation method. At last, one numerical example is presented.</p>},
issn = {1991-7139},
doi = {https://doi.org/2001-JCM-8997},
url = {https://global-sci.com/article/85498/on-the-l-infty-convergence-and-the-extrapolation-method-of-a-difference-scheme-for-nonlocal-parabolic-equation-with-natural-boundary-conditions}
}