𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A four-order alternating segment Crank–Nicolson scheme for the dispersive equation

✍ Scribed by Qingjie Zhang; Wenqia Wang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
685 KB
Volume
57
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, a new alternating segment Crank-Nicolson scheme for the dispersive equation with a periodic boundary condition is derived. The scheme has a four-order truncation error in space and unconditional stability. Its theoretical results are conformed to the numerical simulation. A comparison of the accuracy of this method with the prior ASEI and AGE methods is also included.

📜 SIMILAR VOLUMES

An unconditionally stable alternating se
An unconditionally stable alternating segment difference scheme of eight points for the dispersive equation
✍ Wenqia Wang; Shujun Fu 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 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

The approximation of a Crank–Nicolson sc
The approximation of a Crank–Nicolson scheme for the stochastic Navier–Stokes equations
✍ Xiaoyuan Yang; Wei Wang; Yuanyuan Duan 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 677 KB

In this paper we prove the convergence of stochastic Navier-Stokes equations driven by white noise. A linearized version of the implicit Crank-Nicolson scheme is considered for the approximation of the solutions to the N-S equations. The noise is defined as the distributional derivative of a Wiener