A Numerical Approach with Residual Error Estimation for Eolution of High-order Linear Differential-difference Equations by Using Gegenbauer Polynomials
Öz
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 presented to demonstrate the validity and
applicability of the method.
Anahtar Kelimeler
Gegenbauer polynomials Differential- difference equations Collocation method Matrix method Error estimation Residual function
Kaynakça
- M. T. Rashed, Numerical solution of functional differential,integral and integro- differential equations, Appl.Math.Comput.156 (2004) 485-492.
Öz
Kaynakça
- M. T. Rashed, Numerical solution of functional differential,integral and integro- differential equations, Appl.Math.Comput.156 (2004) 485-492.
Ayrıntılar
| Konular | Mühendislik |
|---|---|
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 29 Mart 2017 |
| Yayımlandığı Sayı | Yıl 2017 Cilt: 13 Sayı: 1 |