๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An unconditionally stable spline difference scheme of for solving the second-order 1D linear hyperbolic equation

โœ Scribed by Huan-Wen Liu; Li-Bin Liu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
535 KB
Volume
49
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, the second-order linear hyperbolic equation is solved by using a new threelevel difference scheme based on quartic spline interpolation in space direction and finite difference discretization in time direction. Stability analysis of the scheme is carried out. The proposed scheme is second-order accurate in time direction and fourth-order accurate in space direction. Finally, numerical examples are tested and results are compared with other published numerical solutions.

๐Ÿ“œ SIMILAR VOLUMES

An unconditionally stable alternating se
An unconditionally stable alternating segment difference scheme of eight points for the dispersive equation
โœ Wenqia Wang; Shujun Fu ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 162 KB

A group of new Saul'yev-type asymmetric difference schemes to approach the dispersive equation are given here. On the basis of these schemes, an alternating difference scheme with intrinsic parallelism for solving the dispersive equation is constructed. The scheme is unconditionally stable. Numerica