An efficient spectral method for nonlinear Volterra integro-differential equations with weakly singular kernels

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05)

Cites Work

An $hp$-version spectral collocation method for nonlinear Volterra integro-differential equation with weakly singular kernels
Spectral collocation methods for nonlinear Volterra integro-differential equations with weakly singular kernels
Spectral collocation methods for Volterra-integro differential equations with noncompact kernels
New spectral element method for Volterra integral equations with weakly singular kernel
A spectral method for a weakly singular Volterra integro-differential equation with pantograph delay
A Müntz-collocation spectral method for weakly singular Volterra integral equations
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
An $hp$-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels
Spectral Methods
Müntz--Galerkin Methods and Applications to Mixed Dirichlet--Neumann Boundary Value Problems
Implicit Runge-Kutta Methods of Optimal Order for Volterra Integro-Differential Equations
An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
Polynomial Spline Collocation Methods for Volterra Integrodifferential Equations with Weakly Singular Kernels
The Numerical Analysis of Implicit Runge-Kutta Methods for a Certain Nonlinear Integro-Differential Equation
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 methods for nonlinear weakly singular Volterra integro‐differential equations

This page was built for publication: An efficient spectral method for nonlinear Volterra integro-differential equations with weakly singular kernels