A new extended B-spline approximation technique for second order singular boundary value problems arising in physiology

Abstract

In this study, we have explored the approximate solution of \(2^{nd}\) order singular boundary value problems (SBVP's) using extended cubic B-spline (ECBS) collocation approach. The accuracy of the numerical algorithm has been enhanced by means of a novel ECBS approximation for $2^{nd}$ order derivative. To endorse our claim, few test examples have been considered and the experimental results are compared with the already existing methods. It is observed that the proposed technique is more accurate and efficient in comparison to the existing techniques on the topic.