Abstracts

A higher order numerical scheme to a nonlinear McKendrick-Von Foerster equation with singular mortality

Suman Kumar T, Hyderabad Central University 

In this talk, we present higher-order finite difference numerical schemes to a nonlinear McKendrick-Von Foerster equation when the death rate has singularity at the maximum age. The third, fourth-order schemes that are proposed here are based on the characteristics which are non-intersecting lines in this case, and are multi-step methods with appropriate corrections at each step. An outline of the proof of the error estimates will be presented.