Stiff problem with the exponential nonlinearity for testing of mathematical modeling systems and circuit simulators

Abstract

Stiff problem with the exponential nonlinearity for testing of mathematical modeling systems and circuit simulators

Pilipenko A.M.

Incoming article date: 07.11.2016

The improvement of methods of electronic devices simulation is currently ongoing, so development the tests for these methods is the actual task at the present time. The goal of this paper is to develop the original test problem for efficiency assessment of numerical methods of ordinary differential equations solving and methods of numerical analysis of transients in electronic circuits and systems. The test problem is presented as mathematical model and electronic circuit too. Test problem and technique of estimation of numerical analysis algorithms’ accuracy proposed in the present paper can be used in circuit simulators and in computer mathematics programs to test both known and new simulation methods for electronic circuits and systems with various dynamics, including stiff and/or nonlinear circuits.

Keywords: numerical methods, electronic circuits, transient analysis, ordinary differential equations, stiff systems