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

Düzce Üniversitesi Bilim ve Teknoloji Dergisi

关键词: morgan- voyce polynomials;    differential-difference equations;    collocation method;    matrix method;    error estimation;    residual function;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown