This paper illustrated the application of Levinpsilas transform in solving a system of equations arising in the method of moments solution. Numerical examples include the computation of charge on a conducting strip, current distribution on a thin wire antenna and scattering from a nanowire. Since the method is iterative, it does not require inversion of a matrix in the solution of the system of equations that result in a method of moments formulation. As a result, the degree of accuracy of the solution can be controlled by specifying a convergence factor.