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, Avusturya, 10 - 14 Temmuz 2012, cilt.1493, ss.1054-1058 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1493
  • Doi Numarası: 10.1063/1.4765618
  • Basıldığı Şehir: Vienna
  • Basıldığı Ülke: Avusturya
  • Sayfa Sayıları: ss.1054-1058
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.