Sixth-order non-uniform combined compact difference scheme for multi-term time fractional diffusion-wave equation
Sign Up to like & getrecommendations! Published in 2018 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.04.006
Abstract: Abstract In this paper, we propose a high-order scheme for the numerical solution of multi-term time fractional diffusion-wave (FDW) equation in one and two-dimensional on non-uniform grids. Based on the sixth-order non-uniform combined compact difference… read more here.
Keywords: combined compact; order; uniform combined; scheme ... See more keywords
A high-order upwind compact difference scheme for solving the streamfunction-velocity formulation of the unsteady incompressible Navier–Stokes equations
Sign Up to like & getrecommendations! Published in 2024 at "Physics of Fluids"
DOI: 10.1063/5.0209396
Abstract: In this paper, we propose an upwind compact difference method with fourth-order spatial accuracy and second-order temporal accuracy for solving the streamfunction-velocity formulation of the two-dimensional unsteady incompressible Navier–Stokes equations. The streamfunction and its first-order… read more here.
Keywords: scheme; compact difference; upwind compact; order upwind ... See more keywords
Numerical analysis of two new three-point conservative compact difference schemes based on reduction method for solving RLW equation
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2024.2444929
Abstract: In this paper, we construct two new three-point conservative compact difference schemes based on the reduction method for solving the regularized long wave (RLW) equation. These schemes have the accuracy of second order in temporal… read more here.
Keywords: method; compact difference; two new; difference ... See more keywords
Compact Difference Schemes on a Three-Point Stencil for Second-Order Hyperbolic Equations
Sign Up to like & getrecommendations! Published in 2021 at "Differential Equations"
DOI: 10.1134/s0012266121070090
Abstract: We consider compact difference schemes of approximation order $$4+2 $$ on a three-point spatial stencil for the Klein–Gordon equations with constant and variable coefficients. New compact schemes are proposed for one type of second-order quasilinear… read more here.
Keywords: difference; order; second order; three point ... See more keywords
Highly accurate compact difference schemes for multidimensional delay Schrödinger equations
Sign Up to like & getrecommendations! Published in 2025 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2025-2047
Abstract: Abstract In present paper, the second-order accurate stable compact difference schemes (DSs) for the delay Schrödinger-type partial differential equation (DSPDE) in a Hilbert space are constructed. The stability of these DSs is established. As applications,… read more here.
Keywords: compact difference; delay schr; difference schemes; schr dinger ... See more keywords
A Crank-Nicolson Compact Difference Method for Time-Fractional Damped Plate Vibration Equations
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11100535
Abstract: This paper discusses the Crank–Nicolson compact difference method for the time-fractional damped plate vibration problems. For the time-fractional damped plate vibration equations, we introduce the second-order space derivative and the first-order time derivative to convert… read more here.
Keywords: time; plate vibration; compact difference; difference ... See more keywords
High-Order Time-Space Compact Difference Methods for Semi-Linear Sobolev Equations
Sign Up to like & getrecommendations! Published in 2025 at "Axioms"
DOI: 10.3390/axioms14080646
Abstract: In this paper, high-order compact difference methods (HOCDMs) are proposed to solve the semi-linear Sobolev equations (SLSEs), which arise in various physical models, such as porous media flow and heat conduction. First, a two-level numerical… read more here.
Keywords: method; time; space; compact difference ... See more keywords