Exact solutions of the Fokker-Planck equations with moving boundaries
Journal Article
·
· Annals of Physics (New York)
- Department of Physics, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong (China)
By means of time-dependent similarity transformations, we derive exact solutions of the Fokker-Planck equations with moving boundaries in the presence of: (1) a time-dependent linear force and (2) a time-dependent nonlinear force. The method of similarity transformation is simple and can be easily applied to more general Fokker-Planck equations. Furthermore, the knowledge of the exact solutions in closed form can be useful as a benchmark to test approximate numerical or analytical procedures.
- OSTI ID:
- 20690193
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 319; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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