Two linearized second-order block-centered finite difference methods for nonlinear Sobolev equations
DOI10.1007/s40314-023-02339-1zbMath1524.65413MaRDI QIDQ6159863
Publication date: 22 June 2023
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
stabilityerror estimatenumerical experimentnonlinear Sobolev equationblock-centered finite difference method
Computational methods for sparse matrices (65F50) Numerical computation of solutions to systems of equations (65H10) 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) Extrapolation to the limit, deferred corrections (65B05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Weak Galerkin finite element methods for Sobolev equation
- Local discontinuous Galerkin finite element method and error estimates for one class of Sobolev equation
- Analysis on block-centered finite differences of numerical simulation of semiconductor device detector
- A coupled non-linear hyperbolic-Sobolev system
- A two-grid block-centered finite difference algorithm for nonlinear compressible Darcy-Forchheimer model in porous media
- The finite difference streamline diffusion methods for Sobolev equations with convection-dominated term
- One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay
- A hybrid high-order method for the Sobolev equation
- Application of spectral element method for solving Sobolev equations with error estimation
- Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations
- A two-grid block-centered finite difference method for the nonlinear regularized long wave equation
- A cooling process according to two-temperature theory of heat conduction
- A block-centered finite difference method for the nonlinear Sobolev equation on nonuniform rectangular grids
- A reduced-order extrapolated finite difference iterative scheme based on POD method for 2D Sobolev equation
- Certain non-steady flows of second-order fluids
- On a theory of heat conduction involving two temperature
- A Two-Grid Block-Centered Finite Difference Method For Darcy--Forchheimer Flow in Porous Media
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- On Convergence of Block-Centered Finite Differences for Elliptic Problems
- Superconvergence of a Finite Element Approximation to the Solution of a Sobolev Equation in a Single Space Variable
- Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
- A Newton linearized compact finite difference scheme for one class of Sobolev equations
- A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
- Model equations for long waves in nonlinear dispersive systems
- A reduced‐order extrapolating space–time continuous finite element method for the 2D Sobolev equation
