caa a22 4500 378857797 CHVBK 20180305123339.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0023 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0023 A Fitted Mesh Method for a Class of Singularly Perturbed Parabolic Problems with a Boundary Turning Point [Elektronische Daten] A class of singularly perturbed time-dependent convection-diffusion problems with a boundary turning point is examined on a rectangular domain. The solution of problems from this class possesses a parabolic boundary layer in the neighborhood of one of the sides of the domain. Classical numerical methods on uniform meshes are known to be inadequate for problems with boundary layers. A numerical method consisting of a standard upwind finite difference operator on a fitted mesh is constructed. It is proved that the numerical approximations generated by this method converge uniformly with respect to the singular perturbation parameter. Numerical results are presented that verify computationally the theoretical result. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. singular perturbation nationallicence piecewise-uniform mesh nationallicence boundary turning point nationallicence finite-difference schemed nationallicence Dunne Raymond K. School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland. O'Riordan Eugene School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland. Shishkin Gregorii I. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., 620219 Ekaterinburg, Russia. Computational Methods in Applied Mathematics De Gruyter 3/3(2003), 361-372 1609-4840 3:3<361 2003 3 cmam https://doi.org/10.2478/cmam-2003-0023 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0023 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dunne Raymond K. School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland NATIONALLICENCE 700 1- O'Riordan Eugene School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland NATIONALLICENCE 700 1- Shishkin Gregorii I. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., 620219 Ekaterinburg, Russia NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/3(2003), 361-372 1609-4840 3:3<361 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter