Numerical solution of Ordinary Differential Equations via splines

Altay N., Demiralp M.

7th WSEAS Int Conference on Microelectron, Nanoelectron, Optoelectron/1st WSEAS Int Conference on Multivariate Anal and Its Applicat in Sci and Engn, İstanbul, Turkey, 27 - 30 May 2008, pp.141-142 identifier

  • Publication Type: Conference Paper / Full Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.141-142
  • Istanbul Technical University Affiliated: Yes

Abstract

In this work a numerical solution for a given first order linear Ordinary Differential Equation is obtained by High Dimensional Model Representation (HDMR). Although HDMR is commonly used for multivariate functions, univariate functions are considered through the work to trace everything more easily. The numerical solution is written in the form of a linear combination of first linear and then quadratic functions chosen in Hilbert Space. The unknown constants in that combination are determined in such a way that the constancy measurer becomes maximum.