A general approach for solving systems of time domain partial differential equations using circuit analysis programs is described. The approach is then used to solve a nonlinear one-dimensional transient fluid flow problem. Using the general purpose circuit analysis program SPICE, the approach is fu
On rectangular systems of differential equations and their application to circuit theory
β Scribed by Victor Lovass-Nagy; David L. Powers
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 500 KB
- Volume
- 299
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
A system of diflerential equations A(d/dt) x = Bx +f, along with the initial condition x(0) = k, is considered where A and B are m x n m&rices. Generalized inverses of the matrix A are used to derive algebraic conditions for the existence and uniqueness of a solution. An example is presented to illustrate application of the results to circuit theory.
π SIMILAR VOLUMES
H 0 and one can use the Neumann series β Ξ½=0 (I -L L) Ξ½ L f in order to study solvability of the operator equation Lu = f . In particular, applying this method to the ill -posed Cauchy problem for solutions to an elliptic system P u = 0 of linear PDE's of order p with smooth coefficients we obtain