Collocation methods for nonlinear convolution Volterra integral equations with multiple proportional delays
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Publication:387449
DOI10.1016/j.amc.2012.04.045zbMath1280.65148OpenAlexW2060864910MaRDI QIDQ387449
Jie Li, Haiming Song, Kai Zhang
Publication date: 23 December 2013
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.045
numerical resultscollocation methodssuperconvergenceVolterra integral equationmultiple proportional delaysnonlinear convolution
Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)
Related Items (10)
An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system ⋮ Iterated collocation methods for nonlinear third-kind Volterra integral equations with proportional delays ⋮ Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations ⋮ Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems ⋮ On the analysis of numerical methods for nonstandard Volterra integral equation ⋮ An efficient collocation algorithm for multidimensional wave type equations with nonlocal conservation conditions ⋮ Fast spectral collocation method for solving nonlinear time-delayed Burgers-type equations with positive power terms ⋮ Modified numerical approaches for a class of Volterra integral equations with proportional delays ⋮ Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels ⋮ Theoretical and numerical analysis of third-kind auto-convolution Volterra integral equations
Cites Work
- Autoconvolution equations of the third kind with Abel integral
- On a class of generalized autoconvolution equations of the third kind
- Fast Runge-Kutta methods for nonlinear convolution systems of Volterra integral equations
- Numerical solution of Volterra integral and integro-differential equations with rapidly vanishing convolution kernels
- Spectral methods for pantograph-type differential and integral equations with multiple delays
- On the uniform convergence of a collocation method for a class of singular integral equations
- Nonlinear equations with operators satisfying generalized Lipschitz conditions in scales
- Fast numerical solution of singular integral equations
- Properties of analytic solution and numerical solution of multi-pantograph equation
- A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations
- Numerical Methods in Scientific Computing, Volume I
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- On the generalized pantograph functional-differential equation
- Analysis of collocation solutions for nonstandard Volterra integral equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Optimal Superconvergence Orders of Iterated Collocation Solutions for Volterra Integral Equations with Vanishing Delays
- Fully Discrete Galerkin Method For Fredholm Integro-Differential Equations With Weakly Singular Kernels
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