An approaching method based on integral for linear neutral delay differential equations by using Hermite polynomials

IF 1.6 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

International Journal of Numerical Modelling-Electronic Networks Devices and Fields Pub Date : 2024-07-15 DOI:10.1002/jnm.3266

Şuayip Yüzbaşı, Özlem Karaağaçlı

引用次数: 0

Abstract

This article presents a approximation method for linear neutral delay differential equations using Hermite polynomials. The method ensures the unknown function to be found by approximating the first derivative with the help of the finite Hermite series. This method reduces the problem to a linear algebraic system using the first derivative approach, matrix operations and collocation points. Also error of the solution is estimated by constructing an error problem. Numerical examples are solved to explain the method and error estimation technique. The results demonstrate the effectiveness and accuracy of the current study. Calculations have been made using MATLAB.

查看原文本刊更多论文

基于积分的线性中性延迟微分方程逼近法（使用赫米特多项式

本文提出了一种利用赫米特多项式对线性中性延迟微分方程进行逼近的方法。该方法借助有限赫米特级数，通过近似一阶导数来求解未知函数。该方法利用一阶导数法、矩阵运算和配位点将问题简化为线性代数系统。此外，还通过构建误差问题来估算解的误差。为了解释该方法和误差估算技术，我们解决了一些数值示例。结果证明了当前研究的有效性和准确性。计算使用 MATLAB 进行。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

International Journal of Numerical Modelling-Electronic Networks Devices and Fields 工程技术-工程：电子与电气

CiteScore

4.60

自引率

6.20%

发文量

101

审稿时长

>12 weeks

期刊介绍： Prediction through modelling forms the basis of engineering design. The computational power at the fingertips of the professional engineer is increasing enormously and techniques for computer simulation are changing rapidly. Engineers need models which relate to their design area and which are adaptable to new design concepts. They also need efficient and friendly ways of presenting, viewing and transmitting the data associated with their models. The International Journal of Numerical Modelling: Electronic Networks, Devices and Fields provides a communication vehicle for numerical modelling methods and data preparation methods associated with electrical and electronic circuits and fields. It concentrates on numerical modelling rather than abstract numerical mathematics. Contributions on numerical modelling will cover the entire subject of electrical and electronic engineering. They will range from electrical distribution networks to integrated circuits on VLSI design, and from static electric and magnetic fields through microwaves to optical design. They will also include the use of electrical networks as a modelling medium.