The point method, which is designed to evaluate transients in electrical circuits, is based on the following concepts: the point image of a continuous function; the rules for manipulating point images; and the rules for transforming the images into the originals, or continuous functions. The following tasks were formulated in this study: (a) establish the relations between the image and the original in such a way that the approximation obtained should, in principle, at least differ as little as possible from the precise solution of the given differential equation; (b) obtain the forms of the integrating and differentiating matrices without recourse to numerical methods, which will enable us to write the solution in the form of its analytical dependence on the equation coefficients. Solving these tasks enables construction of a method for studying transients in electrical circuits which is distinct from the point method and which makes is possible not only to obtain a numerical value for the solution of the given differential equation but also to carry out a closed form analysis of that solution.
NASA STI/Recon Technical Report N
- Pub Date:
- May 1977
- Differential Equations;
- Matrices (Mathematics);
- Points (Mathematics);
- Electronics and Electrical Engineering