Title: Using differential equations in electrical circuits' simulation

Authors: Pavla Sehnalova, Vlastimil Kaluza, Jan Kopriva, Jiri Kunovsky

Addresses: Department of Intelligent Systems, Faculty of Information Technology, Brno University of Technology, Czech Republic. ' Department of Intelligent Systems, Faculty of Information Technology, Brno University of Technology, Czech Republic. ' Department of Intelligent Systems, Faculty of Information Technology, Brno University of Technology, Czech Republic. ' Department of Intelligent Systems, Faculty of Information Technology, Brno University of Technology, Czech Republic

Abstract: Numerical methods for solving the system of linear algebraic equations as well as the system of differential equations have been known since the last century. Most numerical methods are very accurate and fast. However, some complicated problems can occur, such as stiff problems and bad-conditional equations, which could be computationally intensive. This paper describes the Modern Taylor Series Method for solving the system of algebraic equations using differential equations. The example of an electrical circuit with a parasitic capacity for demonstrating computational problems will be shown and the suggestion solution presented.

Keywords: linear algebraic equations; differential equations; electrical circuits; simulation.

DOI: 10.1504/IJAC.2009.024750

International Journal of Autonomic Computing, 2009 Vol.1 No.2, pp.192 - 201

Published online: 30 Apr 2009 *

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