Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation

Abstract

The main aim of this study is to apply the Morgan-Voyce 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 Morgan-Voyce 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.

Keywords

• morgan- voyce polynomials
• differential-difference equations
• collocation method
• matrix method
• error estimation
• residual function
• morgan- voyce polinomları
• diferansiyel-fark denklemleri
• kolokasyon metotu
• matris metotu
• hata tahmini
• rezidüel fonksiyon