Predication of Population Growth with Rate of Migration using Cubic Spline Method

Abstract

This paper presents the method of prediction of population growth over a period of time at various locations
of a striped region. It is considered that population growth follows of diffusion equation where the nature of migration
rate of population growth and diffusion rate of molecules will be similar. The numerical approach has been adopted to
find the solution of constructed Partial Differential Equation (PDE) of population growth equation by Cubic Spline –
Explicit and Implicit methods with different initial and boundary conditions.