TY - JFULL
AU - Jiming Yang
PY - 2011/5/
TI - Alternative Convergence Analysis for a Kind of Singularly Perturbed Boundary Value Problems
T2 - International Journal of Mathematical and Computational Sciences
SP - 669
EP - 673
VL - 5
SN - 1307-6892
UR - https://publications.waset.org/pdf/8774
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 52, 2011
N2 - A kind of singularly perturbed boundary value problems is under consideration. In order to obtain its approximation, simple upwind difference discretization is applied. We use a moving mesh iterative algorithm based on equi-distributing of the arc-length function of the current computed piecewise linear solution. First, a maximum norm a posteriori error estimate on an arbitrary mesh is derived using a different method from the one carried out by Chen [Advances in Computational Mathematics, 24(1-4) (2006), 197-212.]. Then, basing on the properties of discrete Green-s function and the presented posteriori error estimate, we theoretically prove that the discrete solutions computed by the algorithm are first-order uniformly convergent with respect to the perturbation parameter ε.
ER -