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The Fokker-Planck Equation

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Quantitative Sociodynamics

Part of the book series: Theory and Decision Library ((TDLB,volume 31))

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Abstract

From the master equation we can derive a Fokker-Planck equation by means of a second order Taylor approximation. The Fokker-Planck equation is a linear partial differential equation of second order so that, not least thanks to the analogy to the SchrÖdinger equation [250], there exist many solution methods for it [27, 83, 84, 86, 95, 96, 241, 242, 259] . In contrast to the master equation the Fokker-Planck equation takes into account only the first two jump moments. The mean value and covariance equations, however, agree with those of the master equation.

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© 1995 Springer Science+Business Media Dordrecht

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Helbing, D. (1995). The Fokker-Planck Equation. In: Quantitative Sociodynamics. Theory and Decision Library, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8516-3_5

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  • DOI: https://doi.org/10.1007/978-94-015-8516-3_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4482-2

  • Online ISBN: 978-94-015-8516-3

  • eBook Packages: Springer Book Archive

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