Finite difference method with cubic spline for solving nonlinear schrödinger equation

Abstract

In this paper we solve the nonlinear Schrödinger equation by discretizing the time derivative using finite difference method and the space derivative using cubic spline. We have proved that the resulting scheme is unconditionally stable and conserves energy.

Keywords:

• Cubic spline
• finite difference method
• nonlinear Schrödinger equation

C.R. Category::

• G.1.7