A NEW COUPLED SUBDIFFUSION MODEL AND ITS PARTITIONED TIME-STEPPING ALGORITHM

doi:10.4208/jcm.2504-m2025-0005

A NEW COUPLED SUBDIFFUSION MODEL AND ITS PARTITIONED TIME-STEPPING ALGORITHM

2026-01-01

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DOI：10.4208/jcm.2504-m2025-0005

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This paper investigates an interface-coupled fractional subdiffusion model, featuring two subdiffusion equations in adjacent domains connected by an interface allowing bidirectional energy transfer. The fractional derivative, accounting for long-term medium effects, introduces challenges in theoretical analysis and computational efficiency. We propose a partitioned time-stepping algorithm using higher-order extrapolations on the interface term to decouple the system with improved temporal accuracy, combined with finite elstability and optimal L2 norm error estimates, supported by several numerical experiments.

Keywords:

Time-fractional derivative

Interface-coupled problem

Partitioned time-stepping method

Stability

Error estimate

A NEW COUPLED SUBDIFFUSION MODEL AND ITS PARTITIONED TIME-STEPPING ALGORITHM

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