Fluctuation Suppression to Optimize Initial Data to Increase the Quality of Truncation Approximants in Probabilistic Evolution Approach for ODEs: Basic Philosophy

Okan A., Baykara N. A., Demiralp M.

International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Kos, Greece, 19 - 25 September 2012, vol.1479, pp.2007-2010 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1479
  • Doi Number: 10.1063/1.4756582
  • City: Kos
  • Country: Greece
  • Page Numbers: pp.2007-2010
  • Istanbul Technical University Affiliated: Yes

Abstract

This work focuses on initial fluctuation optimization on truncation approximants of Probabilistic Evolution for Ordinary Differential Equations (ODEs). Probabilistic Evolution Approach (PEA) is a new method which is proposed by Metin Demiralp and his group (Group of Science and Methods of Computing). This approximation enables us to convert nonlinear differential equations to linear ones.