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A rational approximate solution for generalized pantograph‐delay differential equations
Author(s) -
Isik Osman Rasit,
Turkoglu Turgay
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3616
Subject(s) - mathematics , pantograph , residual , interpolation (computer graphics) , approximation error , collocation (remote sensing) , rational function , collocation method , numerical analysis , error analysis , method of mean weighted residuals , differential equation , mathematical analysis , finite element method , ordinary differential equation , algorithm , computer science , galerkin method , motion (physics) , artificial intelligence , machine learning , engineering , physics , mechanical engineering , thermodynamics
In this paper, a new rational approximation based on a rational interpolation and collocation method is proposed for the solutions of generalized pantograph equations. A comprehensive error analysis is provided. The first part of the error analysis gives an upper bound for the absolute error. The second part is based on residual error procedure that estimates the absolute error. Some numerical examples are given to illustrate the method. The theoretical results support the numerical results. Copyright © 2015 John Wiley & Sons, Ltd.