Memristive Circuit Simulation Using the Semi-Implicit Multistep Method

Multistep integration is an efficient and widely used approach to obtain a numerical solution of ordinary differential equations. In our paper, we propose a new multistep semi-implicit method of accuracy order three. We simulate the simple memristive circuit to compare the proposed method with the explicit Adams-Bashforth algorithm. Experiments show that the semi-implicit method is superior in both accuracy and stability to the traditional explicit schemes. The obtained results can be used in the simulation of various processes described by differential equations including chaotic phenomena.