a septic b-spline collocation method for solving nonlinear singular boundary value problems arising in physiological models

In this paper, we present a numerical collocation method for nonlinear singular two-point boundary value problems of second order based on septic b-spline function. this method depends on different physiological processes such as steady-state oxygen diffusion in a spherical cell with the kinetics uptake of michaelis-menten and heat sources distribution in human head. the proposed method has uniform convergence for the exact solution. we will provide some physiological models proving that our method is very effective with acceptable maximum absolute errors and absolute residual errors.