Analysis of the Euler and trapezoidal discretization methods for the numerical solution of nonlinear functional Volterra integral equations of Urysohn type-Reference-Cited by-同舟云学术

Analysis of the Euler and trapezoidal discretization methods for the numerical solution of nonlinear functional Volterra integral equations of Urysohn type

Published:2021-12 Issue: Volume:398 Page:113628
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Bazm Sohrab^ORCID,Lima Pedro,Nemati Somayeh

Funder

Fundação para a Ciência e a Tecnologia

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference36 articles.

1. Integral equations arising in the kinetic theory of gases;Hu;Appl. Anal.,1989

2. Quadratic equations and applications to Chandrasekhar’s and related equations;Argyros;Bull. Aust. Math. Soc.,1985

3. Nonlinear Functional Analysis;Deimling,1985

4. Integral Equations and Applications;Corduneanu,1991

5. On existence and asymptotic stability of solutions of a nonlinear integral equation;Banaś;J. Math. Anal. Appl.,2003

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A comprehensive analysis for weakly singular nonlinear functional Volterra integral equations using discretization techniques;Alexandria Engineering Journal;2024-10

2. Convergence analysis of an iterative scheme to solve a family of functional Volterra integral equations;Applied Mathematics and Computation;2024-09

3. A comparative study of discretization techniques for augmented Urysohn type nonlinear functional Volterra integral equations and their convergence analysis;Applied Mathematics and Computation;2024-06

4. Existence, uniqueness, and numerical approximation of solutions of a nonlinear functional integral equation;Journal of Computational and Applied Mathematics;2024-03

5. Sixth-Order Numerical Solver Based on Truncation Error for Solution of Nonlinear Fredholm Equations;Springer Proceedings in Mathematics & Statistics;2024