Comparative between Integrating Factor Method and Traditional Euler's Method to Solve Electrical Circuit

Abstract

We provided two methods for selected ordinary differential equations representing initial value problems compared them. The aim is to investigate which solution is divergent and which of them is convergent when we connect the electrical circuit in parallel circuit or series one. The first solution is an analytical solution using the method of integrating factor; the second method is a numerical solution using the traditional Euler’s Method. The two solutions have been applied to an illustrative example and an application problem from the field of electrical engineering. The application results have been analyzed and compared. We found  that the numerical solution (Euler’s method) when we solve the problem in series circuit the solution is convergent and the output is so  smoothly , but in parallel connection there is big difference between the exact solution and the approximate one and the solution is divergent . When I replace the values of  t from ( 1 , 2 , … to  0.1 , 0.2 , ) the solution is goes smoothly.