Numerical analysis of temporal second-order accurate scheme for the abstract Volterra integrodifferential equation
From MaRDI portal
Publication:6543240
DOI10.1002/mma.9788zbMATH Open1539.65202MaRDI QIDQ6543240
Qiong Huang, Wenbin Bi, Hongxin Cui, Tao Guo
Publication date: 24 May 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
regularityweakly singular kernelVolterra integro-differential equationstability and convergenceproduct integration rule
Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Volterra integral equations (45D05)
Cites Work
- Numerical blow-up of nonlinear parabolic integro-differential equations on unbounded domain
- The spectral methods for parabolic Volterra integro-differential equations
- A second-order accurate numerical method for a fractional wave equation
- Finite element methods for partial Volterra integro-differential equations on two-dimensional unbounded spatial domains
- Semigroups of linear operators and applications to partial differential equations
- The long-time global behavior of time discretization for fractional order Volterra equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- The formally second-order BDF ADI difference/compact difference scheme for the nonlocal evolution problem in three-dimensional space
- Fast BDF2 ADI methods for the multi-dimensional tempered fractional integrodifferential equation of parabolic type
- Second-order accurate numerical scheme with graded meshes for the nonlinear partial integrodifferential equation arising from viscoelasticity
- The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem
- Time two-grid algorithm based on finite difference method for two-dimensional nonlinear fractional evolution equations
- The numerical solution of parabolic Volterra integro-differential equations on unbounded spatial domains
- Quasi wavelet based numerical method for Volterra integro-differential equations on unbounded spatial domains
- Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains
- A second-order accurate numerical method for a semilinear integro-differential equation with a weakly singular kernel
- Time Discretization of an Integro-Differential Equation of Parabolic Type
- Finite element methods for parabolic and hyperbolic partial integro-differential equations
- An Abstract Parabolic Volterra Integrodifferential Equation
- The Numerical Solution of Integral Equations of the Second Kind
- Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
- Crank-Nicolson Quasi-Wavelet Based Numerical Method for Volterra Integro-Differential Equations on Unbounded Spatial Domains
- Volterra Integral Equations in Banach Space
- A formally second‐order <scp>backward differentiation formula</scp> Sinc‐collocation method for the Volterra integro‐differential equation with a weakly singular kernel based on the double exponential transformation
- Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels
- Crank-Nicolson ADI finite difference/compact difference schemes for the 3D tempered integrodifferential equation associated with Brownian motion
This page was built for publication: Numerical analysis of temporal second-order accurate scheme for the abstract Volterra integrodifferential equation