Compact difference scheme for two-dimensional fourth-order hyperbolic equation
نویسندگان
چکیده
منابع مشابه
A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation
This work extends the previous two-dimensional compact scheme for the Cahn–Hilliard equation (Lee et al., 2014) to three-dimensional space. The proposed scheme, derived by combining a compact formula and a linearly stabilized splitting scheme, has second-order accuracy in time and fourth-order accuracy in space. The discrete system is conservative and practically stable. We also implement the c...
متن کاملA fourth-order finite difference scheme for the numerical solution of 1D linear hyperbolic equation
In this paper, a high-order and unconditionally stable difference method is proposed for the numerical solution of onespace dimensional linear hyperbolic equation. We apply a compact finite difference approximation of fourth-order for discretizing spatial derivative of this equation and a Padé approximation of fifth-order for the resulting system of ordinary differential equations. It is shown ...
متن کاملA general meshsize fourth-order compact difference discretization scheme for 3D Poisson equation
A fourth-order compact difference scheme with unrestricted general meshsizes in different coordinate directions is derived to discretize three-dimensional Poisson equation on a regular cubic domain. The difference scheme derivation procedure makes use of the symbolic representation of the finite difference schemes and is easier to understand in such complex three-dimensional manipulations. We u...
متن کاملA Compact Fourth-order Finite Difference Scheme for the Improved Boussinesq Equation with Damping Terms
Fuqiang Lu, Zhiyao Song and Zhuo Zhang Key Laboratory of Virtual Geographic Environment (Nanjing Normal University), Ministry of Education, Nanjing, 210023, China State Key Laboratory Cultivation Base of Geographical Environment Evolution (Jiangsu Province), Nanjing, 210023, China Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application, Nanji...
متن کاملA family of fourth-order difference schemes on rotated grid for two-dimensional convection-diffusion equation
We derive a family of fourth order nite diierence schemes on the rotated grid for the two dimensional convection diiusion equation with variable coeecients. In the case of constant convection coeecients, we present an analytic bound on the spectral radius of the line Jacobi iteration matrix in terms of the cell Reynolds numbers. Our analysis and numerical experiments show that the proposed sche...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2019
ISSN: 1687-1847
DOI: 10.1186/s13662-019-2094-4