Turkish Journal of Mathematics and Computer Science
General Convergence Analysis for the Perturbation Iteration Technique
Yazarlar: Necdet BİLDİK
Cilt 6 , Sayı - , 2017 , Sayfalar 1 - 9
Konular:Mühendislik
Anahtar Kelimeler:Perturbation iteration method,Nonlinear differential equation,Convergence,Series expansion
Özet: In this study, we propose a different approach of the newly developed perturbation iteration method to analyze its convergence properties when solving nonlinear equations. Our main goal is to give some theorems which prove that this technique is convergent under some special conditions. Error estimate is also provided as a result of related theorems. A few interesting problems are investigated to illustrate our arguments.
ATIFLAR
Atıf Yapan Eserler
KAYNAK GÖSTER
BibTex
@article{2017, title={General Convergence Analysis for the Perturbation Iteration Technique}, volume={6}, publisher={Turkish Journal of Mathematics and Computer Science}, author={Necdet BİLDİK}, year={2017}, pages={1–9} }
APA
Necdet BİLDİK. (2017). General Convergence Analysis for the Perturbation Iteration Technique (Vol. 6, pp. 1–9). Vol. 6, pp. 1–9. Turkish Journal of Mathematics and Computer Science.
MLA
Necdet BİLDİK. General Convergence Analysis for the Perturbation Iteration Technique. Turkish Journal of Mathematics and Computer Science, 2017, pp. 1–9.