The<scp>BDF2 FDM</scp>for the fourth‐order equations with the multi‐term<scp>R‐L</scp>fractional integral kernels
From MaRDI portal
Publication:6066214
DOI10.1002/num.22817OpenAlexW3195685342MaRDI QIDQ6066214
Yan-Ling Liu, Xuehua Yang, Yuan Liu, Hai-xiang Zhang
Publication date: 12 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22817
Cites Work
- On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
- Convolution quadrature and discretized operational calculus. I
- The global behavior of time discretization for an abstract Volterra equation in Hilbert space
- Optimal \(L^\infty (L^2)\) error analysis of a direct discontinuous Galerkin method for a time-fractional reaction-diffusion problem
- A compact finite difference scheme for the fourth-order fractional diffusion-wave system
- Error analysis of direct discontinuous Galerkin method for two-dimensional fractional diffusion-wave equation
- Direct discontinuous Galerkin method for solving nonlinear time fractional diffusion equation with weak singularity solution
- Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels
- Error analysis of discontinuous Galerkin method for the time fractional KdV equation with weak singularity solution
- A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient
- A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel
- Lectures on viscoelasticity theory
- Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
- A direct discontinuous Galerkin method for time-fractional diffusion equation with discontinuous diffusive coefficient
- A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation
- A backward Euler difference scheme for the integro-differential equations with the multi-term kernels
- A second-order BDF compact difference scheme for fractional-order Volterra equation
- A fully discrete direct discontinuous Galerkin Method for the fractional diffusion-wave equation
This page was built for publication: The<scp>BDF2 FDM</scp>for the fourth‐order equations with the multi‐term<scp>R‐L</scp>fractional integral kernels
