Circuit analysis as a discrete boundary value problem
Raghib Abu-Saris, Wajdi Ahmad · International Journal of Mathematical Education in Science and Technology · 2007
In this note, it is shown that mesh and nodal techniques for electric circuit analysis can be cast as non-autonomous discrete boundary value problems. An elegant necessary and sufficient condition for the existence of a unique solution for such problems is described. The developed condition is computationally tractable, as it only involves checking a determinant that is specially constructed from the coefficients of the underlying difference equation. Illustrative examples are presented to demonstrate the validity of the result.