Abstract:
A number of computer program packages have been developed for the solution of the
numerical methods. The main objectives of the paper were: to explore the benefit of computer
program packages that have been developed for the solution of problems based on numerical
methods in solving mathematical models, to solve the fundamental equations Laplace`s and
Poisson`s equations which are known in mathematics as boundary value problems, and plot the
voltage stress over a porcelain insulator which represents a mathematical model and to predict the
power frequency breakdown voltages. Use was made of COMSOL MULTIPHYSIS package based
on finite element method. It is found that, the simulation and experiment results recorded in many
studies are in close agreement. Thus, it may be concluded that the finite-element packages can be
used with a fair degree of accuracy to design most of numerical models.