Mesh-Free Radial Basis Functions Method for the Accurate Numerical Solution of the Radial Schrodinger Equation: I-Bound States

Boztosun I., Caner T.

Conference on Nuclear Physic and Astrophysics - From Stable Beams to Exotic Nucle, Cappadocia, Turkey, 25 - 30 June 2008, vol.1072, pp.241-244

  • Publication Type: Conference Paper / Full Text
  • Volume: 1072
  • Doi Number: 10.1063/1.3039838
  • City: Cappadocia
  • Country: Turkey
  • Page Numbers: pp.241-244
  • Keywords: Radial Schrodinger equation, Bound states, eigenvalue, Meshless methods, Radial basis functions (RBF), thin-plate spline, ASYMPTOTIC ITERATION METHOD
  • Akdeniz University Affiliated: No

Abstract

We present a meshless method based on the thin plate radial basis functions for an accurate and stable numerical solution of the radial Schrodinger equation for the bound-states.