A Study of Runge-Kutta Method for n-th Order Differential Equations

Ordinary differential equations are solved numerically using number of methods. In this paper, an analysis of finding out the solution of n-th order differential equations has been done using Runge Kutta Method which finds vast application in getting the accurate solution by integration. Therefore, it becomes essential for many engineering problems. The Runge Kutta Method offers a faster solution compared to other methods. The objective is to improve the effectiveness of numerical methods, which serve as efficient and powerful tools in solving ordinary differential equations.