On the convergence of multistep collocation methods for integral-algebraic equations of index 1

T Zhang, H Liang, S Zhang - Computational and Applied Mathematics, 2020 - Springer
The multistep collocation method is introduced to solve integral-algebraic equations of index
1. The existence and uniqueness of the multistep collocation solution are proved. The …

Wavelets direct method for solving volterra integral-algebraic equations

S Sohrabi - Afrika Matematika, 2023 - Springer
This paper deals with the numerical solutions for Volterra type integral-algebraic equations
(IAEs) via a direct method using Legendre wavelets (LWs). Using the operational matrix …

An error estimation of a Nyström type method for integral-algebraic equations of index-1

SA Sajjadi, HS Najafi, H Aminikhah - Mathematical sciences, 2023 - Springer
This paper presents a numerical method based on the first kind of Chebyshev polynomials
for solving a coupled system of Volterra integral equations of the second and first kind. For …

Numerical and analytical findings on the Volterra integral-algebraic index-1 system with vanishing delays

SM Bagomghaleh, S Pishbin, G Gholami - Applied Mathematics and …, 2024 - Elsevier
In the current study, we deal with a linear system of integral-algebraic-equations (IAEs) with
vanishing delay arguments, which can be considered as the most momentous novelty of this …

[HTML][HTML] 指标-3 型积分代数方程的配置边值方法

岳珍 - Pure Mathematics, 2024 - hanspub.org
针对指标-3 型积分代数方程的数值解, 研究其配置边值方法, 基于插值多项式,
利用未计算的近似值, 通过将原方程进行离散化构造了指标-3 型积分代数方程的配置边值方法 …

[HTML][HTML] 指标1-型积分代数方程的配置边值方法

曾港, 任浩, 李恒杰 - Advances in Applied Mathematics, 2022 - hanspub.org
通过构造配置边值方法求解指标-1 型积分代数方程. 利用拉格朗日插值公式,
选取未计算的节点作插值节点, 将原方程离散为一个线性方程组. 由绕圈数以及剩余理论分析了 …

[PDF][PDF] Computational of eigenvalues and eigenfunctions of nonlinear differential equation by Sinc-Self-consistent method

SMA Aleomraninejad, M Solaimani - Mathematics and Computational …, 2024 - mcs.qut.ac.ir
We combine sinc method and self-consistent method to obtain eigenvalues
andeigenfunctions of a class of nonlinear differential equations. Some propertiesof sinc …

[PDF][PDF] The solution of convolution-typed Volterra integral equation by G-transform

H Kim, K Nonlaopon - Int. J. Eng. Technol, 2018 - researchgate.net
The solution of convolution-typed Volterra integral equation by G-transform Page 1 International
Journal of Engineering & Technology, 7 (4) (2018) 6665-6669 International Journal of …