A multi-domain spectral collocation method for Volterra integral equations with a weakly singular kernel
From MaRDI portal
Publication:2034436
DOI10.1016/j.apnum.2021.05.006zbMath1467.65118OpenAlexW3161561629MaRDI QIDQ2034436
Anatoly A. Alikhanov, Guoyu Zhang, Zheng Ma, Cheng-Ming Huang
Publication date: 22 June 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.05.006
error analysisVolterra integral equationweakly singular kernelgraded meshmulti-domain spectral collocationnonpolynomial collocation
Related Items (3)
A novel method for linear and nonlinear fractional Volterra integral equations via cubic hat functions ⋮ Fractional collocation method for third-kind Volterra integral equations with nonsmooth solutions ⋮ An \(hp\)-version fractional collocation method for Volterra integro-differential equations with weakly singular kernels
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solutions for weakly singular Volterra integral equations using Chebyshev and Legendre pseudo-spectral Galerkin methods
- Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
- The fine error estimation of collocation methods on uniform meshes for weakly singular Volterra integral equations
- Enriched spectral methods and applications to problems with weakly singular solutions
- A fractional order collocation method for second kind Volterra integral equations with weakly singular kernels
- 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
- Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations
- Stability analysis of product \(\theta\)-methods for Abel integral equations of the second kind
- An \textit{hp}-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels
- A Müntz-collocation spectral method for weakly singular Volterra integral equations
- New fractional Lanczos vector polynomials and their application to system of Abel-Volterra integral equations and fractional differential equations
- Nonpolynomial collocation approximation of solutions to fractional differential equations
- Piecewise spectral collocation method for system of Volterra integral equations
- Legendre spectral collocation methods for Volterra delay-integro-differential equations
- An $hp$-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays
- Generalized Jacobi functions and their applications to fractional differential equations
- A Note on Jacobi Spectral-Collocation Methods for Weakly Singular Volterra Integral Equations with Smooth Solutions
- 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
- Generalized Jacobi Spectral-Galerkin Method for Nonlinear Volterra Integral Equations with 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
- Muntz type Theorems I
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
- Collocation methods for second-kind Volterra integral equations with weakly singular kernels
- Superconvergence of Numerical Solutions to Volterra Integral Equations with Singularities
- A Hybrid Collocation Method for Volterra Integral 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
- Polynomial Approximation on Compact Manifolds and Homogeneous Spaces
- Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey
This page was built for publication: A multi-domain spectral collocation method for Volterra integral equations with a weakly singular kernel