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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICAL MODELING AND NUMERICAL SIMULATION
Semiclassical asymptotics of nonlinear Fokker–Plank equation for distributions of asset returns
A. V. Shapovalovab, A. Yu. Trifonova, E. A. Masalovaa a Tomsk Polytechnic University, Faculty of Natural Sciences and Mathematics, Lenin av. 30, 634050, Russia
b Tomsk State University, Lenin av. 36, Tomsk, 634050, Russia
Abstract:
The semiclassical approximation method is applied for solution construction of the Fokker–Planck equation with quadratic nonlocal nonlinearity and various coefficients in models of asset returns estimation. Analitical expressions determining nonlinear evolution operator are obtained in semiclasical approximation.
Keywords:
Fokker–Plank equation, semiclassical approximation, economics.
Received: 11.02.2008
Citation:
A. V. Shapovalov, A. Yu. Trifonov, E. A. Masalova, “Semiclassical asymptotics of nonlinear Fokker–Plank equation for distributions of asset returns”, Computer Research and Modeling, 1:1 (2009), 41–49
Linking options:
https://www.mathnet.ru/eng/crm620 https://www.mathnet.ru/eng/crm/v1/i1/p41
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Abstract page: | 127 | Full-text PDF : | 34 | References: | 33 |
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