Solving a Quadratic Riccati Differential Equation, Multi-Pantograph Delay Differential Equations, and Optimal Control Systems with Pantograph Delays

被引：2

作者：

Ghomanjani, Fateme ^{[1
]}

Shateyi, Stanford ^{[2
]}

机构：

[1] Kashmar Higher Educ Inst, Dept Math, Kashmar 3619995161, Iran

[2] Univ Venda, Dept Math, P Bag X5050, ZA-0950 Thohoyandou, South Africa

来源：

AXIOMS | 2020年 / 9卷 / 03期

关键词：

Genocchi polynomials; operational matrix of derivatives;

D O I：

10.3390/axioms9030082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An effective algorithm for solving quadratic Riccati differential equation (QRDE), multipantograph delay differential equations (MPDDEs), and optimal control systems (OCSs) with pantograph delays is presented in this paper. This technique is based on Genocchi polynomials (GPs). The properties of Genocchi polynomials are stated, and operational matrices of derivative are constructed. A collocation method based on this operational matrix is used. The findings show that the technique is accurate and simple to use.

引用

页数：12

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