A fractional order collocation method for second kind Volterra integral equations with weakly singular kernels
From MaRDI portal
Publication:1635880
DOI10.1007/s10915-017-0568-7zbMath1391.45002OpenAlexW2762055348MaRDI QIDQ1635880
Publication date: 1 June 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0568-7
Related Items
Discontinuous Galerkin approximations to second-kind Volterra integral equations with weakly singular kernel ⋮ Fractional collocation boundary value methods for the second kind Volterra equations with weakly singular kernels ⋮ A combination method for solving multi-dimensional systems of Volterra integral equations with weakly singular kernels ⋮ Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations ⋮ A spectral collocation method for a nonlinear multidimensional Volterra integral equation ⋮ An efficient spectral-Galerkin method for second kind weakly singular VIEs with highly oscillatory kernels ⋮ Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions ⋮ Singular asymptotic expansion and Legendre collocation method for two-term weakly singular Volterra integral equation of the second kind ⋮ Solving linear Volterra integral equations with a piecewise linear maximum entropy method ⋮ Singularity separation Chebyshev collocation method for weakly singular Volterra integral equations of the second kind ⋮ Bivariate barycentric rational interpolation method for two dimensional fractional Volterra integral equations ⋮ A fractional spectral collocation method for general Caputo two-point boundary value problems ⋮ A generalized barycentric rational interpolation method for generalized Abel integral equations ⋮ A multi-domain spectral collocation method for Volterra integral equations with a weakly singular kernel ⋮ A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay ⋮ The Puiseux expansion and numerical integration to nonlinear weakly singular Volterra integral equations of the second kind ⋮ Legendre-Galerkin methods for third kind VIEs and CVIEs ⋮ New spectral element method for Volterra integral equations with weakly singular kernel ⋮ A fractional spectral collocation for solving second kind nonlinear Volterra integral equations with weakly singular kernels ⋮ On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations
- 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
- Convergence analysis of spectral Galerkin methods for Volterra type integral equations
- Fast singularity preserving methods for integral equations with non-smooth solutions
- A Jacobi-collocation method for solving second kind Fredholm integral equations with weakly singular kernels
- A spectral collocation method for a weakly singular Volterra integral equation of the second kind
- Hybrid collocation methods for Fredholm integral equations with weakly singular kernels
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Spectral methods for pantograph-type differential and integral equations with multiple delays
- Spectral methods for weakly singular Volterra integral equations with smooth solutions
- Linear integral equations.
- Singularity preserving Galerkin methods for weakly singular Fredholm integral equations
- Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind
- Legendre spectral collocation method for neutral and high-order Volterra integro-differential equation
- Superconvergence of the iterated hybrid collocation method for weakly singular Volterra integral equations
- Generalized Jacobi functions and their applications to fractional differential equations
- Optimal Fractional Integration Preconditioning and Error Analysis of Fractional Collocation Method Using Nodal Generalized Jacobi Functions
- Parallel in Time Algorithm with Spectral-Subdomain Enhancement for Volterra Integral Equations
- A Note on Jacobi Spectral-Collocation Methods for Weakly Singular Volterra Integral Equations with Smooth Solutions
- Supergeometric Convergence of Spectral Collocation Methods for Weakly Singular Volterra and Fredholm Integral Equations with Smooth Solutions
- Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-Differential Equations
- A Multistep Legendre--Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations
- Spectral Methods
- Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels
- An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- 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
- The Numerical Solution of Integral Equations of the Second Kind
- A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels
- Petrov--Galerkin Methods for Linear Volterra Integro-Differential Equations
- Spectral Galerkin methods for a weakly singular Volterra integral equation of the second kind
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions
- Fractional Spectral Collocation Method
- Polynomial Approximation on Compact Manifolds and Homogeneous Spaces