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

An analog memristor-crossbar-array-based 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 matrix-vector 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.