Two Very Specific Cases for Separate Node Ascending Derivatives Expansion (SNADE)


Bodur D. , Demiralp M.

International Conference of Computational Methods in Sciences and Engineering (ICCMSE), Athens, Greece, 20 - 23 March 2015, vol.1702 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1702
  • Doi Number: 10.1063/1.4938941
  • City: Athens
  • Country: Greece

Abstract

This paper presents the application of very recently developed univariate function representation on two very specific cases: (1) the case where all nodes are same, (2) the case where all odd indexed nodes are same while the even indexed nodes are all same but equal to a different value. The purpose of (1) is to show the equivalence of SNADE to well-known Taylor expansion whereas (2) is presented to reveal the difference of SNADE as being a novel approach, from Taylor expansion. The relation between SNADE and known multinode Taylor expansions based on some identities could have also been given here. However we do not intend to mention them here.