Title :
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
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;
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
DOI :
10.1109/ICCMS.2010.198
