Adomian's decomposition method applied to systems of nonlinear algebraic equations

KAYA D., El-Sayed S. M.

Applied Mathematics and Computation, cilt.154, sa.2, ss.487-493, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 154 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00729-x
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.487-493
  • Anahtar Kelimeler: Adomian polynomials, Adomian's decomposition method, Systems of nonlinear algebraic equations
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper an algorithm based on Adomian's decomposition method is developed to approximate the solution of systems of nonlinear algebraic equations F(X)=0. Special cases of the system of nonlinear equations are solved using the algorithm of the decomposition method. It turns out that the convergence of this algorithm is rapid. The decomposition method has the advantage of being more concise for numerical purposes. © 2003 Elsevier Inc. All rights reserved.