Solution of Electric Circuits by a 9-stage Hermite-Birkhoff-Taylor DAE Solver of Order 11

2010
Truong Nguyen-Ba, Hemza Yagoub, Han Hao, Rémi Vaillancourt

The ODE solver HBT(11)9 is expanded into a differential algebraic equation (DAE) solver, called HBT(11)9DAE, for nonstiff and moderately stiff systems of fully implicit DAEs. Pryce’s structural pre-analysis and automatic differentiation for DAEs is adapted to the new solver. The stepsize is controlled by a local error estimator. HBT(11)9DAE uses only the first five derivatives of y as opposed to 11 with the Taylor series method of order 11. HBT(11)9DAE is applied to electric circuit problems, and, on the basis of the CPU time and the maximum global error, it is superior to Dormand – Prince’s DP(8,7)13M adapted to solve DAEs.

Keywords
General linear method for non-stiff DAE, Hermite-Birkhoff method, Pryce structural analysis for Taylor method, electric circuit.

Nguyen-Ba, T., Yagoub, H., Hao, H., Vaillancourt, R. Solution of Electric Circuits by a 9-stage Hermite-Birkhoff-Taylor DAE Solver of Order 11. Boundary Field Problems and Computer Simulation. Vol.45, 2010, pp.87-94. ISSN 1407-7493.

Publication language
English (en)