MORGAN-VOYCE MATRIX METHOD FOR GENERALIZED FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA-TYPE

被引:0
|
作者
Ozel, Mustafa [1 ]
Kurkcu, Omur Kivanc [2 ]
Sezer, Mehmet [3 ]
机构
[1] Dokuz Eylul Univ, Dept Geophys Engn, TR-35370 Izmir, Turkey
[2] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey
[3] Manisa Celal Bayar Univ, Dept Math, TR-45140 Manisa, Turkey
来源
关键词
Morgan-Voyce polynomials; Integro-differential equation; Matrix method; Collocation points; Error Analysis; DIFFERENTIAL-DIFFERENCE EQUATIONS; COLLOCATION METHOD; NUMERICAL-SOLUTION;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This study deals with the generalized linear Volterra-type functional integro-differential equations with mixed delays. A combination between matrix-collocation method and Morgan-Voyce polynomials is developed to solve these type equations. In addition, an error analysis technique is given to improve the obtained solutions. Numerical examples are performed to confirm the efficiency and validity of the method. The comparisons are made in tables and figures. The discussions show that the method is fast and precise.
引用
收藏
页码:295 / 310
页数:16
相关论文
共 50 条
  • [1] Properties of Solutions to Volterra-Type Integro-Differential Equations
    Egorov, A. I.
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (10) : 4240 - 4253
  • [2] On a generalized fractional integro-differential equation of Volterra-type
    Al-Shammery, AH
    Kalla, SL
    Khajah, HG
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2000, 9 (02) : 81 - 90
  • [3] On spectral methods for Volterra-type integro-differential equations
    Jiang, Ying-Jun
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 230 (02) : 333 - 340
  • [4] On the Volterra-Type Fractional Integro-Differential Equations Pertaining to Special Functions
    Singh, Yudhveer
    Gill, Vinod
    Singh, Jagdev
    Kumar, Devendra
    Nisar, Kottakkaran Sooppy
    [J]. FRACTAL AND FRACTIONAL, 2020, 4 (03) : 1 - 12
  • [5] Morgan-Voyce polynomial approach for ordinary linear delay integro-differential equations with variable delays and variable bounds
    Ozel, Mustafa
    Tarakci, Mehmet
    Sezer, Mehmet
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (05): : 1434 - 1447
  • [6] ON SPECTRAL METHOD FOR VOLTERRA FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE
    Sedaghat, S.
    Ordokhani, Y.
    Dehghan, Mehdi
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2014, 35 (02) : 223 - 239
  • [7] Volterra-Type Integro-Differential Equations with Two-Point Singular Differential Operator
    Zarifzoda, S. K.
    Yuldashev, T. K.
    Djumakhon, I
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2021, 42 (15) : 3784 - 3792
  • [8] Volterra-Type Integro-Differential Equations with Two-Point Singular Differential Operator
    S. K. Zarifzoda
    T. K. Yuldashev
    I. Djumakhon
    [J]. Lobachevskii Journal of Mathematics, 2021, 42 : 3784 - 3792
  • [9] INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE
    RAO, MR
    TSOKOS, CP
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (03): : 528 - &
  • [10] Morgan-Voyce type generalized polynomials with negative subscripts
    Horadam, AF
    [J]. FIBONACCI QUARTERLY, 1998, 36 (05): : 391 - 395