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

2017 ◽  
Author(s):  
Tuğçe Mollaoğlu ◽  
Mehmet Sezer
Keyword(s):  
Error Estimation ◽  
Difference Equations ◽  
Numerical Approach ◽  
High Order ◽  
Residual Error ◽  
Gegenbauer Polynomials ◽  
Order Linear ◽  
Linear Differential

Numerical Solutions of Systems of High-Order Linear Differential-Difference Equations with Bessel Polynomial Bases

2011 ◽  
Vol 66 (8-9) ◽  
pp. 519-532 ◽  
Author(s):  
Șuayip Yüzbași ◽  
Niyazi Șahin ◽  
Ahmet Yıldırımb
Keyword(s):  
Difference Equations ◽  
Numerical Solutions ◽  
Variable Coefficients ◽  
High Order ◽  
Numerical Examples ◽  
Order Linear ◽  
Collocation Points ◽  
Bessel Polynomial ◽  
Polynomial Bases ◽  
Linear Differential

Abstract In this paper, a numerical matrix method, which is based on collocation points, is presented for the approximate solution of a system of high-order linear differential-difference equations with variable coefficients under the mixed conditions in terms of Bessel polynomials. Numerical examples are included to demonstrate the validity and applicability of the technique and comparisons are made with existing results. The results show the efficiency and accuracy of the present work. All of the numerical computations have been performed on computer using a program written in MATLAB v7.6.0 (R2008a).

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