In this work, we present some applications of regularized version of Green’s function for Helmholtz operator  in the space  on Schrödinger Equation, to provide best possible and worthy approximation by segregation of singularities, smoothing solutions and extracting some expedient results by its use. To avoid singularities we use regularized Green’s function for Helmholtz operator  in the space  from theory of reproducing kernel Hilbert space as strong regularization limit by numerical approach.

regularized Green’s function, regularized solution of partial differential equations, Schrödinger Equation, applications of regularized Green’s function.