Problem

Computation of matrices for a direct FD method. As an alternative to the iterati...

Computation of matrices for a direct FD method. As an alternative to the iterative technique based on Eq. (2.16), the finite-difference analysis of a square coaxial cable, in Fig.2.4 (a), can be carried out by directly solving the system of linear algebraic equations with the potentials at interior grid nodes in Fig.2.4 (b) as unknowns [applying Eq. (2.15) to each interior grid node, we get a set of simultaneous equations the number of which equals the number of unknown potentials]. The system of equations, in which known potentials at nodes on the surface of conductors appear on the right-hand side of equations, is solved by the Gaussian elimination method (or by matrix inversion). In this MATLAB exercise, write a function mACfd() that establishes the system of equations, i.e., that computes matrices [A] and [C] of the matrix equation, for the direct FD analysis of the cable. (mACfd.m on IR)

Reference: Equation(2.16), Fig(2.4)

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Solutions For Problems in Chapter 2