Sharif University of TechnologyScientia Iranica1026-309827320200601A septic B-spline collocation method for solving nonlinear singular boundary value problems arising in physiological models167418742120210.24200/sci.2018.51012.1961ENA.R.HadhoudDepartment of Mathematics, Faculty of Science, University of Menoufia, Shebein El-Koom, Egypt.K.K.AliDepartment of Mathematics, Faculty of Science, University of Al-Azhar, Cairo, Nasr-City, Egypt.M.A.ShaalanDepartment of Basic Science, Higher Technological Institute, 10th of Ramadan City, EgyptJournal Article20180530In this paper, we present a numerical method based on septic B-spline function for nonlinear singular second-order two-point boundary value problems, which depend on different physiological processes as thermal explosions problem and the steady state oxygen diffusion in a spherical cell with Michaelisâ€“Menten uptake kinetics and distribution of heat sources in the human head. Septic B-spline method has a truncation error of O(h^8) and converges to the exact solution with O(h^6). The numerical problems show that our method is very effective. The resulting sets of differential equations are modified at the singular point and are treated by using septic B-spline for finding the numerical solution. The maximum absolute errors and the absolute residual errors are acceptable.http://scientiairanica.sharif.edu/article_21202_4aa4eac8a4a53d346aee73df2332f1bd.pdf