Turkish Journal of Mathematics and Computer Science

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.


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BibTex
KOPYALA
@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
KOPYALA
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
KOPYALA
Necdet BİLDİK. General Convergence Analysis for the Perturbation Iteration Technique. Turkish Journal of Mathematics and Computer Science, 2017, pp. 1–9.