@Article{NMTMA-1-2,
author = {Vulanović, Relja},
title = {Finite-Difference Methods for a Class of Strongly Nonlinear Singular Perturbation Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2008},
volume = {1},
number = {2},
pages = {235--244},
abstract = {<p style="text-align: justify;">The paper is concerned with strongly nonlinear singularly perturbed boundary value problems in one dimension. The problems are solved numerically by finite-difference schemes on special meshes which are dense in the boundary layers. The
Bakhvalov mesh and a special piecewise equidistant mesh are analyzed. For the central
scheme, error estimates are derived in a discrete $L^1$ norm. They are of second order
and decrease together with the perturbation parameter&nbsp;ε. The fourth-order Numerov
scheme and the Shishkin mesh are also tested numerically. Numerical results show&nbsp;ε-uniform pointwise convergence on the Bakhvalov and Shishkin meshes.</p>},
issn = {2079-7338},
doi = {https://doi.org/2008-NMTMA-6050},
url = {https://global-sci.com/article/90779/finite-difference-methods-for-a-class-of-strongly-nonlinear-singular-perturbation-problems}
}