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Numerical study of subdiffusion equation

2006/11/01 by Katarzyna D. Lewandowska, Lewandowska, Katarzyna D., Tadeusz Kosztołowicz +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.cond-mat/0611014

openalex publication_date 2006/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a numerical procedure of solving the subdiffusion equation with Caputo fractional time derivative. On the basis of few examples we show that the subdiffusion is a 'long time memory' process and the short memory principle should not be used in this case.

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