Comparing numerical methods for the solutions of systems of ordinary differential equations

Shawagfeh N., KAYA D.

Applied Mathematics Letters, cilt.17, sa.3, ss.323-328, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0893-9659(04)90070-5
  • Dergi Adı: Applied Mathematics Letters
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.323-328
  • Anahtar Kelimeler: Adomian decomposition method, Fourth-order Runge-Kutta method, System of ordinary differential equations
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this article, we implement a relatively new numerical technique, the Adomian decomposition method, for solving linear and nonlinear systems of ordinary differential equations. The method in applied mathematics can be an effective procedure to obtain analytic and approximate solutions for different types of operator equations. In this scheme, the solution takes the form of a convergent power series with easily computable components. This paper will present a numerical comparison between the Adomian decomposition and a conventional method such as the fourth-order Runge-Kutta method for solving systems of ordinary differential equations. The numerical results. demonstrate that the new method is quite accurate and readily implemented. © 2004 Elsevier Ltd.