Block boundary value methods for linear weakly singular Volterra integro-differential equations

DOI10.1007/S10543-020-00840-1zbMath1472.65170OpenAlexW3133981734WikidataQ115384186 ScholiaQ115384186MaRDI QIDQ2026372

Yongtao Zhou, Martin Stynes

Publication date: 19 May 2021

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-020-00840-1

zbMATH Keywords

stabilityconvergenceblock boundary value methodsgraded meshlinear weakly singular Volterra integro-differential equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (6)

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 ⋮ Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations ⋮ An \(hp\)-version fractional collocation method for Volterra integro-differential equations with weakly singular kernels ⋮ Block boundary value methods for solving linear neutral Volterra integro-differential equations with weakly singular kernels ⋮ Solving the third-kind Volterra integral equation via the boundary value technique: Lagrange polynomial versus fractional interpolation

Cites Work

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• Block boundary value methods for solving Volterra integral and integro-differential equations
• Boundary value methods for Volterra integral and integro-differential equations
• Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations
• Multidimensional weakly singular integral equations
• Block boundary value methods for linear Hamiltonian systems
• Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives
• Superconvergence in the maximum norm of a class of piecewise polynomial collocation methods for solving linear weakly singular Volterra integro-differential equations
• High-order multistep methods for boundary value problems
• Convergence and stability of boundary value methods for ordinary differential equations
• Boundary value methods: The third way between linear multistep and Runge-Kutta methods
• A semi-discrete scheme for solving fourth-order partial integro-differential equation with a weakly singular kernel using Legendre wavelets method
• Analytical and numerical study for an integro-differential nonlinear Volterra equation with weakly singular kernel
• Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels
• Polynomial Spline Collocation Methods for Volterra Integrodifferential Equations with Weakly Singular Kernels
• A note on collocation methods for Volterra integro-differential equations with weakly singular kernels
• Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
• Block-Boundary Value Methods for the Solution of Ordinary Differential Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations

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