Study the Numerical Methods for Solving Syste...

Study the Numerical Methods for Solving System of Equation

Author Name : Ravi Kumar, Mr. Raj Kumar Duhan

ABSTRACT  This Paper concentrates on numerical methods for solving ordinary differential equa-tions. Firstly, we discuss the concept of system of equations using Jacobi and Gauss Seidal method. we also discuss the method for solving the ordinary differential equation using Euler and Runge Kutta 4th order method. The given ordinary differential equation is analyzed on Euler and Runge-Kutta method to find the approximated solution with the given initial conditions. Then, the stability of each method .We also focus on numerical methods for systems. After investigating the numerical methods, we gave advantages and disadvantages of Euler method and Fourth Order Runge-Kutta method. The approximated solutions with different step-size and analytical solutions of methods are computed in c language . The computation of approximated solution so methods are compared with analytical solutions. -Kutta method is more accurate than the Explicit Euler method.