A Non-Linear Partial Differential Equation Solver Based on Analog Memristor Crossbar Arrays | Zendy

Jiabao Ye | Zendy; Bing Chen | Zendy; Nuo Xu | Zendy; Jiantao Zhou | Zendy; Rongjun Mu | Zendy; Chao Du | Zendy; Wei D. Lu | Zendy

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A Non-Linear Partial Differential Equation Solver Based on Analog Memristor Crossbar Arrays

Author(s) -

Jiabao Ye,

Bing Chen,

Nuo Xu,

Jiantao Zhou,

Rongjun Mu,

Chao Du,

Wei D. Lu

Publication year - 2025

Publication title -

ieee journal of the electron devices society

Language(s) - English

Resource type - Magazines

SCImago Journal Rank - 0.69

H-Index - 31

eISSN - 2168-6734

DOI - 10.1109/jeds.2025.3573409

Subject(s) - components, circuits, devices and systems , engineered materials, dielectrics and plasmas

An analog memristor-crossbar-arraybased non-linear partial differential equation (PDE) solver is developed and verified through circuit-level simulations using realistic memristor device data. Several methodologies are suggested for the matrixvector multiplication (MVM) and weight update (WU) operations, which are the essenses of the highly parallelised PDE solver. An example of solving the Burgers’ equation is demonstrated. Results suggest that, in comparison with traditional computers, the proposed memristor PDE solver offers dramatic performance improvement and energy savings.

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