Piecewise Legendre spectral-collocation method for Volterra integro-differential equations
From MaRDI portal
Publication:5247111
DOI10.1112/S1461157014000485zbMath1310.65133MaRDI QIDQ5247111
Publication date: 23 April 2015
Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)
Integro-ordinary differential equations (45J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Volterra integral equations (45D05)
Related Items (6)
Numerical solution of high-order linear Volterra integro-differential equations by using Taylor collocation method ⋮ Series expansion method for weakly singular Volterra integral equations ⋮ Shifted Jacobi spectral-Galerkin method for solving fractional order initial value problems ⋮ Spectral collocation methods for nonlinear Volterra integro-differential equations with weakly singular kernels ⋮ A fast and high-order numerical method for nonlinear fractional-order differential equations with non-singular kernel ⋮ A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence analysis of spectral Galerkin methods for Volterra type integral equations
- Spectral methods for pantograph-type differential and integral equations with multiple delays
- Legendre spectral Galerkin method for second-kind Volterra integral equations
- Spectral methods for weakly singular Volterra integral equations with smooth solutions
- Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind
- Adaptive space-time finite element solution for Volterra equations arising in viscoelasticity problems
- Legendre spectral collocation methods for pantograph Volterra delay-integro-differential equations
- On spectral methods for Volterra-type integro-differential equations
- A Note on Jacobi Spectral-Collocation Methods for Weakly Singular Volterra Integral Equations with Smooth Solutions
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
- 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
This page was built for publication: Piecewise Legendre spectral-collocation method for Volterra integro-differential equations