## Abstract This paper is concerned with accurate and efficient numerical methods for solving parabolic differential equations. A compact locally one‐dimensional finite difference method is presented, which has second‐order accuracy in time and fourth‐order accuracy in space with respect to discret
A sixth-order compact finite difference method for the one-dimensional sine-Gordon equation
✍ Scribed by Murat Sari; Gürhan Gürarslan
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 2009
- Tongue
- English
- Weight
- 133 KB
- Volume
- 27
- Category
- Article
- ISSN
- 2040-7939
- DOI
- 10.1002/cnm.1349
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Our work is an extension of the previously proposed multivariant element. We assign this re®ned element as a compact mixed-order element in the sense that use of this element offers a much smaller bandwidth. The analysis is implemented on quadratic hexahedral elements with a view to analysing a thre
A new finite element method for Nwogu's (O. Nwogu, ASCE J. Waterw., Port, Coast., Ocean Eng., 119, 618 -638 (1993)) one-dimensional extended Boussinesq equations is presented using a linear element spatial discretisation method coupled with a sophisticated adaptive time integration package. The accu
A multigrid semi-implicit ®nite difference method is presented to solve the two-dimensional shallow water equations which describe the behaviour of basin water under the in¯uence of the Coriolis force, atmospheric pressure gradients and tides. The semi-implicit ®nite difference method discretizes im