An \(hp\)-version fractional collocation method for Volterra integro-differential equations with weakly singular kernels
From MaRDI portal
Publication:2691908
DOI10.1007/s11075-022-01394-9OpenAlexW4296192379WikidataQ115381553 ScholiaQ115381553MaRDI QIDQ2691908
Publication date: 30 March 2023
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-022-01394-9
collocation methoderror analysisweakly singular kernelVolterra integro-differential equationfractional polynomial
Numerical methods for integral transforms (65R10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Volterra integral equations (45D05) Numerical methods for functional-differential equations (65L03)
Related Items
Cites Work
- Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations
- Numerical solution of weakly singular linear Volterra integro-differential equations
- An \(h-p\) version of the continuous Petrov-Galerkin finite element method for nonlinear Volterra integro-differential equations
- Legendre-Gauss collocation methods for ordinary differential equations
- An \(hp\)-version spectral collocation method for nonlinear Volterra integro-differential equation with weakly singular kernels
- A fractional spectral method with applications to some singular problems
- Spectral collocation methods for nonlinear Volterra integro-differential equations with weakly singular kernels
- Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations
- Block boundary value methods for linear weakly singular Volterra integro-differential equations
- A multi-domain spectral collocation method for Volterra integral equations with a weakly singular kernel
- A Müntz-collocation spectral method for weakly singular Volterra integral equations
- Spectral collocation method for weakly singular Volterra integro-differential equations
- A Multistep Legendre--Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations
- An $hp$-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels
- Spectral Methods
- Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels
- Runge-Kutta Theory for Volterra and Abel Integral Equations of the Second Kind
- On the Stability of Linear Multistep Methods for Volterra Convolution Equations
- An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth 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
- Geometric meshes and their application to Volterra integro-differential equations with singularities
- Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Stieltjes Derivatives and $\beta $-Polynomial Spline Collocation for Volterra Integrodifferential Equations with Singularities
- Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions
- Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels
- An hp-Version Chebyshev Spectral Collocation Method for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels
- Spectral collocation methods for nonlinear weakly singular Volterra integro‐differential equations
- A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels
- hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations