@Article{JCM-16-1,
author = {Clavero, C. and Miller, J.J.H. and O'Riordan, E. and Shishkin, G.I.},
title = {An Accurate Numerical Solution of a Two Dimensional Heat Transfer Problem with a Parabolic Boundary Layer},
journal = {Journal of Computational Mathematics},
year = {1998},
volume = {16},
number = {1},
pages = {27--39},
abstract = {<p style="text-align: justify;">A singularly perturbed linear convection-diffusion problem for heat transfer in two dimensions with a parabolic boundary layer is solved numerically. The numerical method consists of a special piecewise uniform mesh condensing in a neighbourhood of the parabolic layer and a standard finite difference operator satisfying a discrete maximum principle. The numerical computations demonstrate numerically that the method is $ε$-uniform in the sense that the rate of convergence and error constant of the method are independent of the singular perturbation parameter $ε$. This means that no matter how small the singular perturbation parameter $ε$ is, the numerical method produces solutions with guaranteed accuracy depending solely on the number of mesh points used.&nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/1998-JCM-9139},
url = {https://global-sci.com/article/85669/an-accurate-numerical-solution-of-a-two-dimensional-heat-transfer-problem-with-a-parabolic-boundary-layer}
}