Approximate solutions of nonlinear volterra integral equation systems

YalÇinba S., Erdem K.

International Journal of Modern Physics B, cilt.24, sa.32, ss.6235-6258, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 32
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1142/s0217979210055524
  • Dergi Adı: International Journal of Modern Physics B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6235-6258
  • Anahtar Kelimeler: Taylor polynomials and series, system of integral equations, Volterra systems
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The purpose of this study is to implement a new approximate method for solving system of nonlinear Volterra integral equations. The technique is based on, first, differentiating both sides of integral equations n times and then substituting the Taylor series the unknown functions in the resulting equation and later, transforming to a matrix equation. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Taylor coefficients of the solution function. Some numerical results are also given to illustrate the efficiency of the method. © 2010 World Scientific Publishing Company.