@Article{IJNAM-6-33,
author = {Bates , P. W.Brown , S. and Han , J.},
title = {Numerical Analysis for a Nonlocal Allen-Cahn Equation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2009},
volume = {6},
number = {1},
pages = {33--49},
abstract = {<p style="text-align: justify;">We propose a stable, convergent finite difference scheme to solve
numerically a nonlocal Allen-Cahn equation which may model a variety of
physical and biological phenomena involving long-range spatial interaction. We
also prove that the scheme is uniquely solvable and the numerical solution will
approach the true solution in the $L^∞$ norm.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/755.html}
}