An $hp$-Version of $C^0$ -Continuous Petrov-Galerkin Time-Stepping Method for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

DOI10.4208/eajam.020520.120620zbMath1461.65269OpenAlexW3108097181WikidataQ115211262 ScholiaQ115211262MaRDI QIDQ4986572

Li-na Wang, Shuangshuang Li, Lijun Yi

Publication date: 27 April 2021

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.020520.120620

zbMATH Keywords

exponential convergenceweakly singular kernel\(hp\)-versionsecond-order Volterra integro-differential equationcontinuous Petrov-Galerkin method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Volterra integral equations (45D05)

Related Items

On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations

Cites Work

• Collocation methods for second-order Volterra integro-differential equations
• Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution
• Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels
• Implicit Runge-Kutta Methods of Optimal Order for Volterra Integro-Differential Equations
• Polynomial Spline Collocation Methods for Volterra Integrodifferential Equations with Weakly Singular Kernels
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations
• Finite Elements
• Volterra integral and differential equations