A novel temporal two-grid compact finite difference scheme for the viscous Burgers' equation

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

Mach reflection for the two-dimensional Burgers equation
Quantum lattice-gas model for the Burgers equation
Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law
A numerical solution of the Burgers' equation using cubic B-splines
A Galerkin finite element approach to Burgers' equation
Analysis of a fourth-order finite difference method for the incompressible Boussinesq equations
Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier-Stokes equations
The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation
Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity
A second-order time accurate and fully-decoupled numerical scheme of the Darcy-Newtonian-nematic model for two-phase complex fluids confined in the Hele-Shaw cell
A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model
An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
A numerical solution of the Burgers' equation using septic \(B\)-splines
Efficient linear, decoupled, and unconditionally stable scheme for a ternary Cahn-Hilliard type Nakazawa-Ohta phase-field model for tri-block copolymers
A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data
Subdivision-based isogeometric analysis for second order partial differential equations on surfaces
Long time stability of high order multistep numerical schemes for two-dimensional incompressible Navier-Stokes equations
Generating exact solutions of the two-dimensional Burgers' equations
Time Discretization of an Integro-Differential Equation of Parabolic Type
Asymptotic properties of Burgers turbulence
Space‐time finite elements incorporating characteristics for the burgers' equation
Finite difference discretization of the cubic Schrödinger equation
Error estimation of Hermite spectral method for nonlinear partial differential equations
A Novel Two-Grid Method for Semilinear Elliptic Equations
A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
Optimal Error Estimates of the Chebyshev--Legendre Spectral Method for Solving the Generalized Burgers Equation
Spectral Vanishing Viscosity Method For Nonlinear Conservation Laws
Shock Layer Movement for Burgers’ equation
Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
WO-GRID METHOD FOR BURGERS’ EQUATION BY A NEW MIXED FINITE ELEMENT SCHEME
Analysis of fully discrete finite element methods for 2D Navier–Stokes equations with critical initial data
A Semi-implicit Exponential Low-Regularity Integrator for the Navier--Stokes Equations
Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
On two linearized difference schemes for Burgers’ equation
Efficient numerical scheme for a new hydrodynamically-coupled conserved Allen-Cahn type Ohta-Kawaski phase-field model for diblock copolymer melt
A novel fully decoupled scheme with second-order time accuracy and unconditional energy stability for the Navier-Stokes equations coupled with mass-conserved Allen-Cahn phase-field model of two-phase incompressible flow

This page was built for publication: A novel temporal two-grid compact finite difference scheme for the viscous Burgers' equation

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6645090)