An efficient compact difference-proper orthogonal decomposition algorithm for fractional viscoelastic plate vibration model

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
Compact alternating direction implicit method for two-dimensional time fractional diffusion equation
High order compact alternating direction implicit method for the generalized sine-Gordon equation
Numerical simulation for conservative fractional diffusion equations by an expanded mixed formulation
A reduced-order DG formulation based on POD method for the time-domain Maxwell's equations in dispersive media
Fourth-order compact difference and alternating direction implicit schemes for telegraph equations
Error analysis of a compact finite difference method for fourth-order nonlinear elliptic boundary value problems
A reduced-order finite element method based on POD for the incompressible miscible displacement problem
Numerical analysis for compact difference scheme of fractional viscoelastic beam vibration models
A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation
A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation
A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation
A fourth-order scheme for space fractional diffusion equations
Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation
Discretized Fractional Calculus
A new fourth‐order numerical algorithm for a class of three‐dimensional nonlinear evolution equations
Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations
Local Discontinuous Galerkin methods for fractional diffusion equations
Variational formulation for the stationary fractional advection dispersion equation
A reduced‐order modified finite difference method preserving unconditional energy‐stability for the Allen–Cahn equation
A reduced‐order extrapolating space–time continuous finite element method for the 2D Sobolev equation
Compact difference scheme for <scp>two‐dimensional fourth‐order</scp> nonlinear hyperbolic equation