Stable Explicit Schemes for Equations of the Schroedinger Type.
Abstract
Most conventional explicit finite difference schemes, e.g., Euler's scheme, for solving the parabolic equation of Schrodinger type u sub t = iu sub zz are unconditionally unstable. This difficulty can be overcome by introducing a dissipative term to the conventional explicit schemes. Based on this approach, the authors derive a class of new explicit finite difference schemes which are conditionally stable, spans two time levels and are O(k,h2) accurate. They also determine the schemes from this class that have the least restrictive stability requirements. It is interesting to note that the analog of the Lax-Wendroff scheme is unstable. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1984
- Accession Number
- ADA140779
Entities
People
- Dongjin Lee
- Lin Shen
- T. F. Chan
Organizations
- Yale University