Research of Numerical Method for Solving Ordinary Differential Equations

The Runge-Kutta Method is a technique of numerical iterating ordinary differential equation(ODE) .These days the exigency for solving real world obstacle has been enhanced .The obstacle inquestion here is a traffic flow problem involving another parameters solving vehicular traffic flowbased on partial differential equation (PDE) are more complex and time consuming then can’t be done inreal time .So (ODE) mathematical model are constructed from other RK method is more credible toanother iteration method .These accurate solution can be widely used to solve the enhancing exigency fortraffic flow optimization .In This paper the construction of an (ODE) Mathematical model is a done for areal world obstacle specifically traffic flow is discussed and a numerical solution is given as an examplewe have also compared the solution obtained from the Runge-Kutta Method with Improved Euler’smethod .Thus showing the solution obtained from an order RK method (for first order ODE) is moreaccurate.