@Article{IJNAM-7-3,
author = {},
title = {A Robust Finite Difference Method for a Singularly Perturbed Degenerate Parabolic Problems, Part I},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2010},
volume = {7},
number = {3},
pages = {549--566},
abstract = {<p style="text-align: justify;">A singularly perturbed degenerate parabolic problem in one space
dimension is considered. Bounds on derivatives of the solution are proved;
these bounds depend on the two data parameters that determine how singularly
perturbed and how degenerate the problem is. A tensor product mesh
is constructed that is equidistant in time and of Shishkin type in space. A
finite difference method on this mesh is proved to converge; the rate of convergence
obtained depends on the degeneracy parameter but is independent of
the singular perturbation parameter. Numerical results are presented.</p>},
issn = {2617-8710},
doi = {https://doi.org/2010-IJNAM-737},
url = {https://global-sci.com/article/83607/a-robust-finite-difference-method-for-a-singularly-perturbed-degenerate-parabolic-problems-part-i}
}