TY - JOUR
T1 - A High-Order Efficient Optimised Global Hybrid Method for Singular Two-Point Boundary Value Problems
AU - Ramos , Higinio
AU - Singh , Gurjinder
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 515
EP - 539
PY - 2021
DA - 2021/05
SN - 11
DO - http://doi.org/10.4208/eajam.251220.291220
UR - https://global-sci.org/intro/article_detail/eajam/19139.html
KW - Singular boundary value problem, hybrid methods, block methods, optimisation technique.
AB - <p style="text-align: justify;">An optimised global hybrid block method for second order singular boundary
value problems with two boundary conditions is developed. A special attention is paid to
the problems having solutions with singularities at the left end of the interval considered.
The method is a combination of the optimised hybrid formulas in [43] and a new set of
formulas. The ad hoc procedure is used just to pass the singularity and the main formulas
are applied to obtain approximations at other discrete points. Numerical experiments
show that the method is a good alternative for the problems studied.</p>