Convergence analysis of the product integration method for solving the fourth kind integral equations with weakly singular kernels

DOI10.1007/s11075-020-00877-xzbMath1456.65187OpenAlexW3010160675MaRDI QIDQ2219435

Sayed Arsalan Sajjadi, S. Pishbin

Publication date: 20 January 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-00877-x

zbMATH Keywords

convergence analysisproduct integration\(\nu\)-smoothing propertyweakly singular integral-algebraic equations

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (9)

Solving integral-algebraic equations with non-vanishing delays by Legendre polynomials ⋮ Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type ⋮ An error estimation of a Nyström type method for integral-algebraic equations of index-1 ⋮ A numerical algorithm for solving index-1 weakly singular integral-algebraic equations with non-smooth solutions ⋮ Convergence analysis of a novel fractional product integration method for solving the second kind weakly singular Volterra integral equations with non-smooth solutions based on Jacobi polynomials ⋮ Wavelets direct method for solving Volterra integral-algebraic equations ⋮ A numerical study on the non‐smooth solutions of the nonlinear weakly singular fractional Volterra integro‐differential equations ⋮ Multistep collocation methods for integral-algebraic equations with non-vanishing delays ⋮ Bernstein polynomials based iterative method for solving fractional integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution and structural analysis of two-dimensional integral-algebraic equations
• 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
• Extrapolation method for solving weakly singular nonlinear Volterra integral equations of the second kind
• On a weakly singular integral equation and its application
• Basic properties of some differential-algebraic equations
• A reliable technique for solving the weakly singular second-kind Volterra-type integral equations
• The index of linear differential algebraic equations with properly stated leading terms
• Numerical solution of Volterra integral-algebraic equations using block pulse functions
• Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind
• Determination of the heat transfer coefficient during solidification of alloys
• The semi-explicit Volterra integral algebraic equations with weakly singular kernels: The numerical treatments
• The numerical solution of the semi-explicit IDAEs by discontinuous piecewise polynomial approximation
• Solution of differential algebraic equations with the Fredholm operator by the least squares method
• Structural analysis of linear integral-algebraic equations
• Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations
• A posteriori error estimation for the Legendre collocation method applied to integral-algebraic Volterra equations
• Solving integral equations with logarithmic kernels by Chebyshev polynomials
• Nonclassical linear Volterra equations of the first kind
• 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
• Volterra Integral Equations
• Direct regularization for system of integral-algebraic equations of index-1
• Differential Algebraic Equations, Indices, and Integral Algebraic Equations
• Spectral Methods for Time-Dependent Problems
• Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Spectral Methods
• Product Integration for the Generalized Abel Equation

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