Implementation of taylor collocation and adomian decomposition method for systems of ordinary differential equations

Bildik N., Deniz S.

International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014, Rhodes, Yunanistan, 22 - 28 Eylül 2014, cilt.1648, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1648
  • Doi Numarası: 10.1063/1.4912591
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: Adomian decomposition method, Taylor collocation method, System of ordinary differential equations
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The importance of ordinary differential equation and also systems of these equations in scientific world is a crystal-clear fact. Many problems in chemistry, physics, ecology, biology can be modeled by systems of ordinary differential equations. In solving these systems numerical methods are very important because most realistic systems of these equations do not have analytic solutions in applied sciences In this study, we apply Taylor collocation method and Adomian decomposition method to solve the systems of ordinary differential equations. In these both scheme, the solution takes the form of a convergent power series with easily computable components. So, we will be able to make a comparison between Adomian decomposition and Taylor collocation methods after getting these power series.