In this study, a novel matrix method based on Lucas series and collocation points has been used to solve nonlinear differential equations with variable delays. The application of the method converts the nonlinear equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown Lucas coefficients. The method is tested on three problems to show that it allows both analytical and approximate solutions.
Birincil Dil  en 

Konular  Matematik 
Bölüm  Matematik 
Yazarlar 

Tarihler 
Yayımlanma Tarihi : 2 Nisan 2020 
Bibtex  @araştırma makalesi { hujms460975,
journal = {Hacettepe Journal of Mathematics and Statistics},
issn = {2651477X},
eissn = {2651477X},
address = {},
publisher = {Hacettepe Üniversitesi},
year = {2020},
volume = {49},
pages = {553  564},
doi = {10.15672/hujms.460975},
title = {Lucas polynomial solution of nonlinear differential equations with variable delays},
key = {cite},
author = {GÜMGÜM, Sevin and BAYKUŞ SAVAŞANERİL, Nurcan and KÜRKÇÜ, Ömür Kıvanç and SEZER, Mehmet}
} 
APA  GÜMGÜM, S , BAYKUŞ SAVAŞANERİL, N , KÜRKÇÜ, Ö , SEZER, M . (2020). Lucas polynomial solution of nonlinear differential equations with variable delays. Hacettepe Journal of Mathematics and Statistics , 49 (2) , 553564 . DOI: 10.15672/hujms.460975 
MLA  GÜMGÜM, S , BAYKUŞ SAVAŞANERİL, N , KÜRKÇÜ, Ö , SEZER, M . "Lucas polynomial solution of nonlinear differential equations with variable delays". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 553564 <https://dergipark.org.tr/tr/pub/hujms/issue/53568/460975> 
Chicago  GÜMGÜM, S , BAYKUŞ SAVAŞANERİL, N , KÜRKÇÜ, Ö , SEZER, M . "Lucas polynomial solution of nonlinear differential equations with variable delays". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 553564 
RIS  TY  JOUR T1  Lucas polynomial solution of nonlinear differential equations with variable delays AU  Sevin GÜMGÜM , Nurcan BAYKUŞ SAVAŞANERİL , Ömür Kıvanç KÜRKÇÜ , Mehmet SEZER Y1  2020 PY  2020 N1  doi: 10.15672/hujms.460975 DO  10.15672/hujms.460975 T2  Hacettepe Journal of Mathematics and Statistics JF  Journal JO  JOR SP  553 EP  564 VL  49 IS  2 SN  2651477X2651477X M3  doi: 10.15672/hujms.460975 UR  https://doi.org/10.15672/hujms.460975 Y2  2019 ER  
EndNote  %0 Hacettepe Journal of Mathematics and Statistics Lucas polynomial solution of nonlinear differential equations with variable delays %A Sevin GÜMGÜM , Nurcan BAYKUŞ SAVAŞANERİL , Ömür Kıvanç KÜRKÇÜ , Mehmet SEZER %T Lucas polynomial solution of nonlinear differential equations with variable delays %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651477X2651477X %V 49 %N 2 %R doi: 10.15672/hujms.460975 %U 10.15672/hujms.460975 
ISNAD  GÜMGÜM, Sevin , BAYKUŞ SAVAŞANERİL, Nurcan , KÜRKÇÜ, Ömür Kıvanç , SEZER, Mehmet . "Lucas polynomial solution of nonlinear differential equations with variable delays". Hacettepe Journal of Mathematics and Statistics 49 / 2 (Nisan 2020): 553564 . https://doi.org/10.15672/hujms.460975 
AMA  GÜMGÜM S , BAYKUŞ SAVAŞANERİL N , KÜRKÇÜ Ö , SEZER M . Lucas polynomial solution of nonlinear differential equations with variable delays. Hacettepe Journal of Mathematics and Statistics. 2020; 49(2): 553564. 
Vancouver  GÜMGÜM S , BAYKUŞ SAVAŞANERİL N , KÜRKÇÜ Ö , SEZER M . Lucas polynomial solution of nonlinear differential equations with variable delays. Hacettepe Journal of Mathematics and Statistics. 2020; 49(2): 564553. 