Design Advanced Algorithm of the Single Dimension for Resolve the Electrostatic problem by Using the MoM Method

In this paper, we are updating a new technique for the solve of electrostatic problems so as to evaluation a numerical solution via usage the Method of Moments (MoM). In this paper, the MoM is helpful to simulate the electrostatic problem of a thin conductive rod with length L and radius a. The segment of the rod with 1m of length was kept at a constant voltage of V0. This problem was indicated as an effective numerical method for resolving the singularity of a matrix which advantageous a Cauchy Principal Integral and Error Estimation. The Cauchy Principal Integral (privacy dissolve) represents ∫_a^b 〖f(x) (x-xm)^(-1) 〗 dx (a < xm < b) has been solved singularity and attain a reliable estimation of the approximation error in order to tolerate was trimmed at the safe level, while the computation has been got by separated the integral and put that numeric bury into the matrix. The exact formulation for the matrix element was set a function f (x) on the numerator of the integral and we are gainful symmetric matrix (square matrix) which was getting the numeric value not infinity number. At this point are interesting the examples were included to illustrate the procedure. The Electrostatic problem was processing details, and illustrative computations have been given in some cases. This way could be generalized to be utilized the functions such as unit pulse and delta function as a basis and testing, respectively, is applied for analyses.