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Approximate the Fokker–Planck equation by a class of nonlocal dispersal problems
- Source :
-
Nonlinear Analysis . Jul2011, Vol. 74 Issue 11, p3501-3509. 9p. - Publication Year :
- 2011
-
Abstract
- Abstract: This paper is concerned with an inhomogeneous nonlocal dispersal equation. We study the limit of the re-scaled problem of this nonlocal operator and prove that the solutions of the re-scaled equation converge to a solution of the Fokker–Planck equation uniformly. We then analyze the nonlocal dispersal equation of an inhomogeneous diffusion kernel and find that the heterogeneity in the classical diffusion term coincides with the inhomogeneous kernel when the scaling parameter goes to zero. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 74
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 60432084
- Full Text :
- https://doi.org/10.1016/j.na.2011.02.034