@Article{JCM-28-474, author = {}, title = {Convergence Rate for Difference Schemes for Polyhedral Nonlinear Parabolic Equations}, journal = {Journal of Computational Mathematics}, year = {2010}, volume = {28}, number = {4}, pages = {474--488}, abstract = {

We build finite difference schemes for a class of fully nonlinear parabolic equations. The schemes are polyhedral and grid aligned. While this is a restrictive class of schemes, a wide class of equations are well approximated by equations from this class. For regular $(C^{2,\alpha})$ solutions of uniformly parabolic equations, we also establish of convergence rate of $\mathcal{O}(\alpha)$. A case study along with supporting numerical results is included.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1003-m0013}, url = {http://global-sci.org/intro/article_detail/jcm/8533.html} }