Numerical Approach of High-Order Linear Delay Difference Equations with Variable Coefficients in Terms of Laguerre Polynomials

Mathematical and Computational Applications

Gürbüz, Burcu¹ 

关键词: Laguerre Polynomials;    Series;    Delay Difference Equations;    Laguerre Collocation Method;   

DOI  :  10.3390/mca16010267

学科分类：计算数学

来源: mdpi

【 摘 要 】

This paper presents a numerical method for the approximate solution of mthorder linear delay difference equations with variable coefficients under the mixed conditions in terms of Laguerre polynomials. The aim of this article is to present an efficient numerical procedure for solving mth-order linear delay difference equations with variable coefficients. Our method depends mainly on a Laguerre series expansion approach. This method transforms linear delay difference equations and the given conditions into matrix equation which corresponds to a system of linear algebraic equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computer algebraic system Maple.

【 授权许可】

CC BY