Separate Node Ascending Derivatives Expansion (SNADE) on Complex Plane<bold> </bold>


Bodur D. , Demiralp M.

12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA), Armenia, 3 - 06 July 2018, vol.2046 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 2046
  • Doi Number: 10.1063/1.5081529
  • Country: Armenia

Abstract

In this study we focus on the method called "Separate Node Ascending Derivatives Expansion"(SNADE) obtained as a result of the studies recently carried out in Group for Science and Methods of Computing (G4S&MC) under the leadership of Metin Demiralp. SNADE is considered as a new type power series involving denumerable infinitely many nodes, like Taylor Series Expansion. However, each position is accompanied by a different derivative value in this method, differently from Taylor Series Expansion. SNADE is based on the use of derivative integration formula for a univariate function in different nodal values. We will focus on the transition from real-valuedness to complex-valuedness and relations related with this method will be reconstructed by taking domains in complex plane into account. Convergence issues will also be considered on a complex plane.