@Article{IJNAM-8-353,
author = {M. Abukhaled, S. A. Khuri and A. Sayfy},
title = {A Numerical Approach for Solving a Class of a Singular Boundary Value Problems Arising in Physiology},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2011},
volume = {8},
number = {2},
pages = {353--363},
abstract = {<p style="text-align: justify;">In this paper, two numerical schemes for finding approximate solutions of singular two-point
boundary value problems arising in physiology are presented. While the main ingredient
of both approaches is the employment of cubic B-splines, the obstacle of singularity has to be
removed first. In the first approach, L&#39;Hopital&#39;s rule is used to remove the singularity due to
the boundary condition (BC) $y&#39;(0) = 0$. In the second approach, the economized Chebyshev
polynomial is implemented in the vicinity of the singular point due to the BC $y(0) = A$, where $A$ is a constant. Numerical examples are presented to demonstrate the applicability and efficiency
of the methods on one hand and to confirm the second order convergence on the other hand.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/689.html}
}