Residual Method for Nonlinear System of Initial Value Problems

ADIYAMAN M., Noyan B.

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, cilt.8, sa.4, ss.733-744, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.22034/cmde.2020.32830.1527
  • Dergi Adı: COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.733-744
  • Anahtar Kelimeler: Nonlinear initial value systems, Bernstein polynomials, Residual method, Lorenz system, primary HIV-1 infection problem
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this paper, the nonlinear system of initial value problems are solved numerically by using Residual method which is based on the minimizing residual function by the Taylor's series expansion. The convergence analysis of the method is given. The significant feature of the method is reduction of nonlinear system of initial value problems to the system of linear equations. To emphasize the accuracy and potential of the method, we solve Lorenz system and primary HIV-1 infection problem numerically.