A Numerical and Analytic Analysis of Nonlinear Implicit Differential Equations Arising in Control and Circuit Problems
Final rept. 15 Jan 1987-14 Jan 1991
NORTH CAROLINA STATE UNIV AT RALEIGH
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Systems of ordinary differential equations are widely used throughout science and engineering to describe varying physical phenomena. Often these differential equations are initially implicit, that is, the highest derivative is not solved for. Traditionally, it has been necessary to first make the equations explicit before the system could be simulated or analyzed. This research is part of the current research effort under way in several disciplines to be able to carry out many parts of design and analysis with these original implicit equations. The ability to do this would not reduce design and analysis time, but also make possible the consideration of more sophisticated models which in turn will provide enhanced system performance.
- Numerical Mathematics