Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity
type: Item
instance of: scholarly article
title: Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity
zbMATH Open document ID: 1500.65049
author: Qifeng Zhang
author: Yifan Qin
author: Zhizhong Sun
published in: Numerical Algorithms
publication date: 2022-10-18T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7602905
zbMATH Keywords: Sobolev equation
zbMATH Keywords: Burgers' type nonlinearity
zbMATH Keywords: reduction method
zbMATH Keywords: compact scheme
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s11075-022-01293-z
OpenAlex ID: W4229444051
cites work: Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
cites work: Finite element Galerkin method for 2D Sobolev equations with Burgers' type nonlinearity
cites work: Uniqueness of weak solutions for a pseudo-parabolic equation modeling two phase flow in porous media
cites work: Q3478883
cites work: A Nonlinear Pseudoparabolic Diffusion Equation
cites work: Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
cites work: Degenerate two-phase porous media flow model with dynamic capillarity
cites work: A cooling process according to two-temperature theory of heat conduction
cites work: Existence and Representation Theorems for a Semilinear Sobolev Equation in Banach Space
cites work: A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure
cites work: A model problem for groundwater flow with dynamic capillary pressure: stability of travelling waves
cites work: Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity
cites work: Two-phase porous media flows with dynamic capillary effects and hysteresis: uniqueness of weak solutions
cites work: A class of pseudo-parabolic equations: existence, uniqueness of weak solutions, and error estimates for the Euler-implicit discretization
cites work: Two-phase flow equations with a dynamic capillary pressure
cites work: The unsaturated flow in porous media with dynamic capillary pressure
cites work: Existence results for nonlinear pseudoparabolic problems
cites work: Error estimates for a mixed finite element discretization of a two-phase porous media flow model with dynamic capillarity
cites work: Convergence of an MPFA finite volume scheme for a two‐phase porous media flow model with dynamic capillarity
cites work: Numerical Solution of Sobolev Partial Differential Equations
cites work: Error estimates of a Galerkin method for some nonlinear Sobolev equations in one space dimension
cites work: Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions
cites work: Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations
cites work: The study of a continuous Galerkin method for Sobolev equation with space-time variable coefficients
cites work: Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillary effects
cites work: Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models
cites work: Uniform Error Estimates for Difference Approximations to NonLinear Pseudo-Parabolic Partial Differential Equations
cites work: Dynamic capillary effects in heterogeneous porous media
cites work: Linearized domain decomposition methods for two-phase porous media flow models involving dynamic capillarity and hysteresis
cites work: Q3618413
cites work: Numerical resolution of a pseudo-parabolic Buckley-Leverett model with gravity and dynamic capillary pressure in heterogeneous porous media
cites work: One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay
cites work: Operator splitting for partial differential equations with Burgers nonlinearity
cites work: Numerical schemes for a pseudo-parabolic Burgers equation: Discontinuous data and long-time behaviour
cites work: Superconvergence error estimate of Galerkin method for Sobolev equation with Burgers' type nonlinearity
cites work: Global stabilization of two dimensional viscous Burgers' equation by nonlinear Neumann boundary feedback control and its finite element analysis
cites work: Optimal error estimates for semidiscrete Galerkin approximations to multi-dimensional Sobolev equations with Burgers' type nonlinearity
cites work: Completely discrete schemes for 2D Sobolev equations with Burgers' type nonlinearity
cites work: A three-point combined compact difference scheme
cites work: The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation
cites work: Convergence of Methods for the Numerical Solution of the Korteweg—de Vries Equation
cites work: Convergence and stability in maximum norms of linearized fourth-order conservative compact scheme for Benjamin-Bona-Mahony-Burgers' equation
cites work: The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate
cites work: Numerical solutions of two dimensional Sobolev and generalized Benjamin-Bona-Mahony-Burgers equations via Haar wavelets
DOI: 10.1007/S11075-022-01293-Z
description: scientific article; zbMATH DE number 7602905