Electric circuit models of partial differential equations

Electrical models of linear partial differential equations may serve several practical purposes: 1. If the networks are physically constructed, they actually may solve the equations within an accuracy of, say, one to five per cent, which is acceptable in many engineering applications. 2. If the networks are constructed only on paper, they supply a visualizable schedule of operations for the numerical solution of the equations or for the improvement of the results found by the network analyzer or by other methods. 3. The networks may serve to check the accuracy and self-consistency of results arrived at by other methods, approximate or exact. 4. In many problems where the fields have boundaries of unusual shape, or where both fields and circuits are present and mutually are influencing each other, it is next to impossible to formulate the problem mathematically. In such cases the electrical model representation offers a practical means for formulating and solving the problem.