The block-by-block method with Romberg quadrature for the solution of nonlinear volterra integral equations on large intervals

被引：0
|
作者：
R. Katani
S. Shahmorad
机构：
来源：
Ukrainian Mathematical Journal | 2012年 / 64卷
关键词：
Integral Equation; Large Interval; Volterra Integral Equation; Sixth Order; Nonlocal Boundary Condition;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the numerical solutions of nonlinear Volterra integral equations by the block-by-block method especially useful for the solution of integral equations on large-size intervals. A convergence theorem is proved showing that the method has at least sixth order of convergence. Finally, the performance of the method is illustrated by some numerical examples.
引用
收藏
页码：1050 / 1063
页数：13
相关论文
共 50 条
  • [11] Block-by-block method for solving non-linear Volterra integral equation of the first kind
    Ghiat, Mourad
    Tair, Boutheina
    Ghuebbai, Hamza
    Kamouche, Soumia
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (01):
  • [12] Block-by-block method for solving non-linear Volterra integral equation of the first kind
    Mourad Ghiat
    Boutheina Tair
    Hamza Ghuebbai
    Soumia Kamouche
    Computational and Applied Mathematics, 2023, 42
  • [13] CONVERGENCE OF A BLOCK-BY-BLOCK METHOD FOR NON-LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
    MAKROGLOU, A
    MATHEMATICS OF COMPUTATION, 1980, 35 (151) : 783 - 796
  • [14] A BLOCK-BY-BLOCK METHOD FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY-SINGULAR KERNEL
    MAKROGLOU, A
    MATHEMATICS OF COMPUTATION, 1981, 37 (155) : 95 - 99
  • [15] Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations
    Huang, Jianfei
    Tang, Yifa
    Vazquez, Luis
    NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2012, 5 (02) : 229 - 241
  • [16] Numerical Solution of Volterra Integro-Differential Equations by Hybrid Block with Quadrature Rules Method
    Janodi, M. R.
    Majid, Z. A.
    Ismail, F.
    Senu, N.
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2020, 14 (02): : 191 - 208
  • [17] A BLOCK-BY-BLOCK METHOD FOR THE IMPULSIVE FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS
    Cao, Junying
    Chen, Lizhen
    Wang, Ziqiang
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (03): : 853 - 874
  • [18] An application of Romberg extrapolation on quadrature method for solving linear Volterra integral equations of the second kind
    Mestrovic, Mladen
    Ocvirk, Eva
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 194 (02) : 389 - 393
  • [19] A block-by-block approach for nonlinear fractional integro-differential equations
    Afiatdoust, F.
    Heydari, M. H.
    Hosseini, M. M.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2023, 100 (11) : 2140 - 2155
  • [20] Approximate solution of multi-term fractional differential equations via a block-by-block method
    Katani, Roghayeh
    Shahmorad, Sedaghat
    Conte, Dajana
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 453
12345