Probabilistic Evolution Approach for Initial Value Problems over Fourier Basis Set

Tuna S., Demiralp M.

9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, Vienna, Austria, 10 - 14 July 2012, vol.1493, pp.1054-1058 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1493
  • Doi Number: 10.1063/1.4765618
  • City: Vienna
  • Country: Austria
  • Page Numbers: pp.1054-1058
  • Istanbul Technical University Affiliated: Yes


Initial Value Problems (IVPs) which are ordinary differential equations (ODEs) with an accompanying initial value are one of the most important subjects in science and engineering. They are encountered in many applications of scientific fields such as physics, quantum mechanics, statistical mechanics etc. Scientists have a large amount of knowledge about how to solve them even analytically or numerically. In this work, a new and novel approach to solve IVPs, especially having non-linear descriptive functions, based on linearization will be introduced.