Open AccessWITHDRAWN: A numerical approach for solving pantograph–type functional differential equations with mixed delays using Dickson polynomials of the second kind
Author(s) -
İclal Yıldızhan,
Ömür Kıvanç Kürkçü,
Mehmet Sezer
Publication year - 2017
Publication title -
journal of king saud university - science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.574
H-Index - 38
eISSN - 2213-686X
pISSN - 1018-3647
DOI - 10.1016/j.jksus.2017.09.019
Subject(s) - pantograph , differential (mechanical device) , type (biology) , computer science , differential equation , mathematics , calculus (dental) , mathematical economics , engineering , medicine , mathematical analysis , physics , engineering drawing , thermodynamics , orthodontics , geology , paleontology
In this study, a hybrid matrix-collocation method based on Dickson polynomials of the second kind along with Taylor polynomials is proposed to solve pantograph type functional differential equations with mixed delays under the inital conditions. The parameter- α in these Dickson polynomials is interpreted for obtaining the optimum solutions. An error estimation related with the residual function and the mean-value theorem is implemented and also some illustrative examples are presented. It is observed that the proposed method is easy to be applied. 2010 AMS Subject Classification: 34K06, 65L60.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom