On solution of irregular differential equation with boundary conditions

This paper is devoted to the analysis of irregular singular boundary value problems for ordinary differential equations with a singularity of the different kinds. We propose a semi - analytic technique using two point osculatory interpolations to construct polynomial solution, and then discuss the behavior of the solution in the neighborhood of the irregular singular points and its numerical approximation. Also we introduce an example to demonstrate the applicability and efficiency of the method.

Keywords:

Singular differential equation , ODE , BVP