Improvement of accuracy of multi-scale models of Li-ion batteries by applying operator splitting techniques

Z. Farkas, I. Faragó, Kriston, A. Pfrang

Research output: Contribution to journalArticle

5 Citations (Scopus)


In this work operator splitting techniques have been applied successfully to improve the accuracy of multi-scale Lithium-ion (Li-ion) battery models. A slightly simplified Li-ion battery model is derived, which can be solved on one time scale and multiple time scales. Different operator splitting schemes combined with different approximations are compared with the non-splitted reference solution in terms of stability, accuracy and processor cost. It is shown, that the reverse Strang–Marchuk splitting combined with the implicit scheme to solve the diffusion operator and Newton method to approximate the non-linear source term can improve the accuracy of the commonly applied vertical (sequential) multi-scale models by almost 3 times without considerably increasing the processor cost.

Original languageEnglish
Pages (from-to)59-79
Number of pages21
JournalJournal of Computational and Applied Mathematics
Publication statusPublished - Jan 15 2017



  • Li-ion battery
  • Multi-scale modeling
  • Newton iteration
  • Numerical model
  • Operator splitting
  • Time discretization

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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