A Numerical Approach with Residual Error Estimation for Eolution of High-order Linear Differential-difference Equations by Using Gegenbauer Polynomials

Tuğçe Mollaoğlu, Mehmet Sezer
2017 Celal Bayar Universitesi Fen Bilimleri Dergisi  
The main aim of this study is to apply the Gegenbauer polynomials for the solution of high-order linear differential difference equations with functional arguments under initial-boundary conditions.The technique we have used is essentially based on the truncated Gegenbauer series and its matrix representations along with collocation points. Also, by using the Mean-Value Theorem and residual function, an efficient error estimation technique is proposed and some illustrative examples are
more » ... amples are presented to demonstrate the validity and applicability of the method.
doi:10.18466/cbayarfbe.302638 fatcat:uxtbozjshndwpcyujmxj7bnifi