Analytical underpinnings of a hybrid analytic-numeric scheme for the Abe-Thurner generalization of the diffusion equation

Authors

  • Jose Perico Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

A hybrid analytic-numeric scheme for obtaining approximate solutions to a generalization of the diffusion equation for non-homogenouse media recently introduced by Abe and Thurner [Physica A 356, 403 (2005)] is proposed. The analytical underpinnings of the proposed scheme for evolving a system governed by the one-dimensioanl Abe-Thurner equations starting from general intial conditions are presented. The scheme is applied to the evolution of a Dirac-delta initial distribution. The final result is an expression amenable to numerical integration for the the evolution of the distribution function of a system governed by Abe-Thurner generalized diffusion .

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Article ID

SPP-2006-3C-01

Section

Theoretical and Computational Physics

Published

2006-10-25

How to Cite

[1]
JP Esguerra, Analytical underpinnings of a hybrid analytic-numeric scheme for the Abe-Thurner generalization of the diffusion equation, Proceedings of the Samahang Pisika ng Pilipinas 24, SPP-2006-3C-01 (2006). URL: https://proceedings.spp-online.org/article/view/SPP-2006-3C-01.