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Solving systems of nonlinear equations when the nonlinearity is expensive

Author
Qasim, S.; Ali, Z.; Ahmad, F.; Serra, S.; Ullah, M.; Mahmood, A.
Type of activity
Journal article
Journal
Computers & mathematics with applications
Date of publication
2016-04
Volume
71
Number
7
First page
1464
Last page
1478
DOI
https://doi.org/10.1016/j.camwa.2016.02.018 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0898122116300724 Open in new window
Abstract
Construction of multi-step iterative method for solving system of nonlinear equations is considered, when the nonlinearity is expensive. The proposed method is divided into a base method and multi-step part. The convergence order of the base method is five, and each step of multi-step part adds additive-factor of five in the convergence order of the base method. The general formula of convergence order is 5(m-2) where m(=3) is the step number. For a single instance of the iterative method we onl...
Keywords
Computationally expensive nonlinear functions, Multi-step iterative methods, Ordinary differential equations, Partial differential equations, Systems of nonlinear equations
Group of research
GAA - Astronomy and Astrophysics Group

Participants

  • Qasim, Sabahat  (author)
  • Ali, Zulifgar  (author)
  • Ahmad, Fayyaz  (author)
  • Serra Capizzano, Stefano  (author)
  • Ullah, Malik Zaka  (author)
  • Mahmood, Arshad  (author)