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
收藏
页数：12
相关论文
共 50 条
  • [21] Application of Vieta-Lucas Series to Solve a Class of Multi-Pantograph Delay Differential Equations with Singularity
    Izadi, Mohammad
    Yuzbasi, Suayip
    Ansari, Khursheed J.
    SYMMETRY-BASEL, 2021, 13 (12):
  • [22] Runge-Kutta methods for the multi-pantograph delay equation
    Li, D
    Liu, MZ
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 163 (01) : 383 - 395
  • [23] Optimal Type-3 Fuzzy System for Solving Singular Multi-Pantograph Equations
    Ma, Chao
    Mohammadzadeh, Ardashir
    Turabieh, Hamza
    Mafarja, Majdi
    Band, Shahab S.
    Mosavi, Amir
    IEEE ACCESS, 2020, 8 : 225692 - 225702
  • [24] An analytic study on the multi-pantograph delay equations with variable coefficients
    Feng, Xinlong
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2013, 56 (02): : 205 - 215
  • [25] Solution of a system of delay differential equations of multi pantograph type
    Davaeifar, Sara
    Rashidinia, Jalil
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2017, 11 (06): : 1141 - 1157
  • [26] THE STABILITY OF θ-METHODS FOR PANTOGRAPH DELAY DIFFERENTIAL EQUATIONS
    梁久祯
    邱深山
    刘明珠
    Numerical Mathematics A Journal of Chinese Universities(English Series), 1996, (01) : 80 - 85
  • [27] COMPUTER SIMULATION OF PANTOGRAPH DELAY DIFFERENTIAL EQUATIONS
    Liu, Xian-Yong
    Liu, Yan-Ping
    Wu, Zeng-Wen
    THERMAL SCIENCE, 2021, 25 (02): : 1381 - 1385
  • [28] A design of novel Gudermannian neural networks for the nonlinear multi-pantograph delay differential singular model
    Sabir, Zulqurnain
    Alhazmi, Sharifah E.
    PHYSICA SCRIPTA, 2023, 98 (10)
  • [29] RELIABLE TREATMENT FOR SOLVING BOUNDARY VALUE PROBLEMS OF PANTOGRAPH DELAY DIFFERENTIAL EQUATION
    Wazwaz, Abdul-Majid
    Raja, Muhammad Asif Zahoor
    Syam, Muhammad Ibrahim
    ROMANIAN REPORTS IN PHYSICS, 2017, 69 (01)
  • [30] Jacobi spectral collocation method for solving fractional pantograph delay differential equations
    Changqing Yang
    Jianhua Hou
    Xiaoguang Lv
    Engineering with Computers, 2022, 38 : 1985 - 1994
12345