An Unconditionally Stable Spline Difference Scheme for Solving the Second 2D Linear Hyperbolic Equation

Author

Hu, Yu-Yan ; Liu, Huan-Wen

Author_Institution

Sch. of Math. & Comput. Sci., Guangxi Univ. for Nat., Nanning, China

Volume

4

fYear

2010

Firstpage

375

Lastpage

378

Abstract

In this paper, an unconditionally stable implicit difference scheme based on quartic spline interpolations in space direction and finite difference discretization in time direction for the numerical solution of two-dimensional linear hyperbolic equation is proposed. The proposed scheme is second-order accurate in time direction and fourth-order accurate in space direction. Numerical examples are tested to illustrate the efficiency of the new difference scheme.

Keywords

hyperbolic equations; splines (mathematics); 2D linear hyperbolic equation; finite difference discretization; implicit difference scheme; numerical solution; quartic spline interpolations; space direction; unconditionally stable spline difference scheme; Computational modeling; Computer simulation; Difference equations; Finite difference methods; Hydrogen; Interpolation; Mathematical model; Mathematics; Spline; Testing; accuracy; quartic spline; second-order linear hyperbolic equation; spline difference scheme; unconditionally stable;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Modeling and Simulation, 2010. ICCMS '10. Second International Conference on

Conference_Location

Sanya, Hainan

Print_ISBN

978-1-4244-5642-0

Electronic_ISBN

978-1-4244-5643-7

Type

conf

DOI

10.1109/ICCMS.2010.198

Filename

5421450