TY  - JOUR
TT  - A Numerical Approach with Residual Error Estimation for Eolution of High-order Linear Differential-difference Equations by Using Gegenbauer Polynomials
AU  - Mollaoğlu, Tuğçe
AU  - Sezer, Mehmet
PY  - 2017
DA  - March
DO  - 10.18466/cbayarfbe.302638
JF  - Celal Bayar University Journal of Science
JO  - CBUJOS
PB  - Manisa Celal Bayar Üniversitesi
WT  - DergiPark
SN  - 1305-130X
SP  - 39
EP  - 49
VL  - 13
IS  - 1
KW  - Gegenbauer polynomials
KW  - Differential-	difference equations
KW  - Collocation method
KW  - Matrix method
KW  - Error estimation
KW  - Residual function
N2  - The main aim of thisstudy is to apply the Gegenbauer polynomials for the solution of high-orderlinear differential difference equations with functional arguments underinitial-boundary conditions.The technique we have used is essentially based onthe truncated Gegenbauer series and its matrix representations along withcollocation points. Also, by using the Mean-Value Theorem and residualfunction, an efficient error estimation technique is proposed and someillustrative examples are presented to demonstrate the validity andapplicability of the method.
CR  - M. T. Rashed, Numerical solution of functional differential,integral and integro- differential equations, Appl.Math.Comput.156 (2004) 485-492.
UR  - https://doi.org/10.18466/cbayarfbe.302638
L1  - https://dergipark.org.tr/tr/download/article-file/289323
ER  -