Bessel collocation approach for solving continuous population models for single and interacting species

YÜZBAŞI Ş.

APPLIED MATHEMATICAL MODELLING, cilt.36, sa.8, ss.3787-3802, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 8
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.apm.2011.10.033
  • Dergi Adı: APPLIED MATHEMATICAL MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3787-3802
  • Anahtar Kelimeler: Logistic growth, Predator-prey models, Bessel polynomials and series, Collocation method, Collocation points, Nonlinear differential equations, FREDHOLM INTEGRODIFFERENTIAL EQUATIONS, ADOMIANS DECOMPOSITION METHOD, HOMOTOPY PERTURBATION METHOD, DIFFERENCE EQUATIONS, POLYNOMIAL SOLUTIONS, INTEGRAL-EQUATIONS, SYSTEMS
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

In this paper, we present a collocation method to obtain the approximate solutions of continuous population models for single and interacting species. By using the Bessel polynomials and collocation points, this method transforms population model into a matrix equation. The matrix equation corresponds to a system of nonlinear equations with the unknown Bessel coefficients. The reliability and efficiency of the proposed scheme are demonstrated by two numerical examples and performed on the computer algebraic system Maple. (C) 2011 Elsevier Inc. All rights reserved.