Distributed analog computing for solving a class of linear ordinary differential equations

A novel method based on distributed analog computing is developed for solving the two-point boundary value problem (BVP) of a linear ordinary differential equation in real-time. Theorems and algorithms for mapping the BVP from time-domain to spatial-domain are developed. Building blocks implementing the mapping are designed. An analog network is constructed with many interconnected nodes operating concurrently in asynchronous fashion. The energy equilibrium state of the network provides a solution to the BVP problem.