\(hp\)-version collocation method for a class of nonlinear Volterra integral equations of the first kind
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Publication:2301309
DOI10.1016/j.apnum.2019.10.006zbMath1437.65244arXiv1810.00730OpenAlexW2981233960MaRDI QIDQ2301309
Khadijeh Nedaiasl, Khosrow Maleknejad, Raziyeh Dehbozorgi
Publication date: 24 February 2020
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.00730
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Volterra integral equations (45D05)
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Cites Work
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- An \(hp\)-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays
- An \(h\)-\(p\) Petrov-Galerkin finite element method for linear Volterra integro-differential equations
- Haar wavelet method for some nonlinear Volterra integral equations of the first kind
- Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
- Adaptive numerical approach based upon Chebyshev operational vector for nonlinear Volterra integral equations and its convergence analysis
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Multistep collocation methods for Volterra integral equations
- Convergence analysis of discretization methods for nonlinear first kind Volterra integral equations
- Discretization of Volterra integral equations of the first kind. II
- Superconvergence of collocation methods for Volterra integral equations of the first kind
- A fully discrete Galerkin method for Abel-type integral equations
- An \(hp\)-version spectral collocation method for nonlinear Volterra integro-differential equation with weakly singular kernels
- Sinc Nyström method for a class of nonlinear Volterra integral equations of the first kind
- Multistep collocation approximations to solutions of first-kind Volterra integral equations
- Discrete superconvergence of collocation solutions for first-kind Volterra integral equations
- Improving the accuracy of collocation solutions of Volterra integral equations of the first kind by local interpolation
- An $hp$-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays
- A Multistep Legendre--Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations
- Collocation for Volterra Integral Equations of the First Kind with Iterated Kernel
- An $hp$-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type
- A space-time BIE method for nonhomogeneous exterior wave equation problems. The Dirichlet case
- The Solution of Volterra Integral Equations of the First Kind by Piecewise Polynomials
- Aphmesh refinement method for optimal control
- Theoretical Numerical Analysis
- Approximation Properties of Quadrature Methods for Volterra Integral Equations of the First Kind
- On Galerkin Methods for Abel-Type Integral Equations
- Discretization of Volterra Integral Equations of the First Kind
- Continuous collocation approximations to solutions of first kind Volterra equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Nonlinear volterra integral equations of the first kind
- Linear integral equations
