Order-optimal methods for integro-differential equations in the singular case

被引：0
|
作者：
N. S. Gabbasov
机构：
[1] Naberezhnye Chelny Institute,Kazan Federal University
来源：
Differential Equations | 2016年 / 52卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study a linear integro-differential equation with a coefficient that has zeros of finite orders. For its approximate solution in the space of generalized functions, we suggest and justify special generalized versions of spline methods. Their optimization in the accuracy order is carried out.
引用
收藏
页码：1209 / 1218
页数：9
相关论文
共 50 条
  • [31] Integro-Differential Equations of Fractional Order
    Abbas, Said
    Benchohra, Mouffak
    Graef, John R.
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2012, 20 (02) : 139 - 148
  • [32] On a New Class of Singular Integro-differential Equations
    Yuldashev, T. K.
    Zarifzoda, S. K.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2021, 101 (01): : 138 - 148
  • [33] Boundary value problems for integro-differential and singular higher-order differential equations
    Anceschi, Francesca
    Calamai, Alessandro
    Marcelli, Cristina
    Papalini, Francesca
    OPEN MATHEMATICS, 2024, 22 (01):
  • [34] Superconvergence of Legendre spectral projection methods for mth order integro-differential equations with weakly singular kernels
    Kayal, Arnab
    Mandal, Moumita
    Nelakanti, Gnaneshwar
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 439
  • [35] Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels
    Shi, Xiulian
    Chen, Yanping
    Huang, Yunqing
    Huang, Fenglin
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2020, 12 (02) : 480 - 502
  • [36] COLLOCATION METHODS FOR INTEGRO-DIFFERENTIAL EQUATIONS
    HANGELBROEK, RJ
    KAPER, HG
    LEAF, GK
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1977, 14 (03) : 377 - 390
  • [37] Special versions of the collocation method for integro-differential equations in the singular case
    Gabbasov, N. S.
    DIFFERENTIAL EQUATIONS, 2017, 53 (09) : 1222 - 1230
  • [38] Special versions of the collocation method for integro-differential equations in the singular case
    N. S. Gabbasov
    Differential Equations, 2017, 53 : 1222 - 1230
  • [39] Integro-differential equations and operational methods
    Dattoli, G
    Pacciani, P
    Ricci, PE
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2004, 119 (04): : 373 - 380
  • [40] Special versions of the subdomain method for integro-differential equations in the singular case
    N. S. Gabbasov
    Differential Equations, 2004, 40 : 1297 - 1306
12345