@Article{IJNAM-13-383,
author = {B. Bialecki and R. I. Fernandes},
title = {A Convergence Analysis of Orthogonal Spline Collocation for Solving Two-Point Boundary Value Problems Without the Boundary Subintervals},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2016},
volume = {13},
number = {3},
pages = {383--402},
abstract = {<p style="text-align: justify;">We consider a new Hermite cubic orthogonal spline collocation (OSC) scheme to solve a
two-point boundary value problem (TPBVP) with boundary subintervals excluded from the given
interval. Such TPBVPs arise, for example, in the alternating direction implicit OSC solution of
parabolic problems on arbitrary domains. The scheme involves transfer of the given Dirichlet
boundary values to the end points of the interior interval. The convergence analysis shows that
the scheme is of optimal fourth order accuracy in the maximum norm. Numerical results confirm
the theoretical results.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/445.html}
}