High-order nonlinear Volterra-Fredholm-Hammerstein integro-differential equations and their effective computation

Turkyilmazoglu M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.247, ss.410-416, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 247
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.amc.2014.08.074
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.410-416
  • Hacettepe Üniversitesi Adresli: Hayır

Özet

In a recent study (Turkyilmazoglu, 2014) high-order linear Fredholm integro-differential equations were solved by means of an elegant and accurate effective technique. This approach is extended here to obtain exact and analytic approximate solutions of high-order nonlinear Volterra-Fredholm-Hammerstein integro-differential equations. Difference from the earlier work is that the method involves solution of nonlinear algebraic equations in place of linear ones. High accuracy of the introduced technique is also observed for the nonlinear equations via comparisons with some of the available methods. (C) 2014 Elsevier Inc. All rights reserved.