A numerical algorithm for solving index-1 weakly singular integral-algebraic equations with non-smooth solutions

DOI10.1080/00036811.2022.2091551OpenAlexW4283381642WikidataQ114101859 ScholiaQ114101859MaRDI QIDQ6079824

Hashem Saberi Najafi, Sayed Arsalan Sajjadi, Hossein Aminikhah

Publication date: 29 September 2023

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2022.2091551

zbMATH Keywords

weakly singularintegral-algebraic equationsdifferentiation indexsemi-explicitnon-smooth behavior

Mathematics Subject Classification ID

Numerical methods for integral equations, integral transforms (65Rxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution and structural analysis of two-dimensional integral-algebraic equations
• Differential-algebraic equations. A projector based analysis
• Optimal convergence results of piecewise polynomial collocation solutions for integral-algebraic equations of index-3
• Jacobi spectral solution for integral algebraic equations of index-2
• Two-dimensional integral-algebraic systems: analysis and computational methods
• Operational tau method for singular system of Volterra integro-differential equations
• On the order of the error in discretization methods for weakly singular second kind Volterra integral equations with non-smooth solutions
• The boundary-domain integral method for elliptic systems. With an application to shells
• The index of linear differential algebraic equations with properly stated leading terms
• Numerical solution of Volterra integral-algebraic equations using block pulse functions
• Linear differential-algebraic equations perturbed by Volterra integral operators
• Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind
• The index of general nonlinear DAEs
• The semi-explicit Volterra integral algebraic equations with weakly singular kernels: The numerical treatments
• On the convergence of multistep collocation methods for integral-algebraic equations of index 1
• The numerical solution of the semi-explicit IDAEs by discontinuous piecewise polynomial approximation
• Block boundary value methods for linear weakly singular Volterra integro-differential equations
• Numerical solution of integral-algebraic equations with a weak boundary singularity by \(k\)-step methods
• Towards a reliable implementation of least-squares collocation for higher index differential-algebraic equations. I: Basics and ansatz function choices
• System of fractional differential algebraic equations with applications
• Convergence analysis of the product integration method for solving the fourth kind integral equations with weakly singular kernels
• Convergence analysis of least-squares collocation methods for nonlinear higher-index differential-algebraic equations
• High accurate convergent spectral Galerkin methods for nonlinear weakly singular Volterra integro-differential equations
• Approximation methods for second kind weakly singular Volterra integral equations
• Solution of differential algebraic equations with the Fredholm operator by the least squares method
• Structural analysis of linear integral-algebraic equations
• A posteriori error estimation for the Legendre collocation method applied to integral-algebraic Volterra equations
• Integral-Algebraic Equations: Theory of Collocation Methods II
• Numerical solution of integral-algebraic equations for multistep methods
• Integral-Algebraic Equations: Theory of Collocation Methods I
• Direct regularization for system of integral-algebraic equations of index-1
• Spectral Methods for Time-Dependent Problems
• Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
• Theoretical Numerical Analysis
• Identification of Weakly Singular Memory Kernels in Heat Conduction
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• A Volterra integral type method for solving a class of nonlinear initial-boundary value problems
• Collocation methods for integro-differential algebraic equations with index 1
• Sinc Collocation Solutions for the Integral Algebraic Equation of Index-1
• Thin plate spline Galerkin scheme for numerically solving nonlinear weakly singular Fredholm integral equations
• Numerical solution of a singular integral equation arising in a cruciform crack problem
• Spectral Methods

This page was built for publication: A numerical algorithm for solving index-1 weakly singular integral-algebraic equations with non-smooth solutions