Legendre spectral-collocation method for Volterra integral equations with non-vanishing delay

DOI10.1007/s10092-013-0083-7zbMath1455.65234OpenAlexW2070512346MaRDI QIDQ2017959

Yanping Chen, Zhendong Gu

Publication date: 23 March 2015

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-013-0083-7

zbMATH Keywords

convergence analysisVolterra integral equationnon-vanishing delayLegendre spectral-collocation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Volterra integral equations (45D05)

Related Items

A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels, An \(hp\)-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays, Series expansion method for weakly singular Volterra integral equations, Convergence analysis for delay Volterra integral equation, Piecewise spectral collocation method for system of Volterra integral equations, Spectral collocation methods for nonlinear Volterra integro-differential equations with weakly singular kernels, Well conditioned pseudospectral schemes with tunable basis for fractional delay differential equations, Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels, An $hp$-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays, An efficient collocation algorithm for multidimensional wave type equations with nonlocal conservation conditions, Numerical analysis of a high order method for nonlinear delay integral equations, Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence analysis of spectral Galerkin methods for Volterra type integral equations
• Stability of collocation methods for delay differential equations with vanishing delays
• Analysis of continuous collocation solutions for a kind of Volterra functional integral equations with proportional delay
• On stability of Runge-Kutta methods for delay integral equations
• Recent advances in the numerical analysis of Volterra functional differential equations with variable delays
• 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
• On spectral methods for Volterra-type integro-differential equations
• A stable numerical method for Volterra integral equations with discontinuous kernel
• Geometric meshes in collocation methods for Volterra integral equations with proportional delays
• A Note on Jacobi Spectral-Collocation Methods for Weakly Singular Volterra Integral Equations with Smooth Solutions
• Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-Differential Equations
• Analysis of collocation solutions for a class of functional equations with vanishing delays
• Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
• Mean Convergence of Lagrange Interpolation. III
• Numerical Methods for Delay Differential Equations
• 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
• Spectral Methods