2007 NSTI Nanotechnology Conference and Trade Show - Nanotech 2007 - 10th Annual

A New Meshfree Accurate Method for Solving the Time Dependent Schrodinger Equation

N.K. Butuk
Prairie View A & M University, US

Keywords:
Schrödinger equarion, meshfree, complex step method, kernel methods

Abstract:
This paper introduces a new meshfree method for the solution of the time dependent Schrodinger equation. The method combines a kernel function approximation method with the complex-step method of computing derivatives. The proposed method is accurate and efficient when compared to existing methods. The method is demonstrated on a scaled one dimensional cubic Schrodinger equation.

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Nanotech 2007 Conference Program Abstract

 
 

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