• S.SARASWATHI
• S.SHALINI

Abstract: This paper helps to find a comparison of analytical and Numerical methods of a simple first order Differential equation of the form dy/dx = f(x,y), with an initial solution y(x_0) = y_0.Here we can see three Numerical methods Euler, Modifier Euler, Runka-Kutta have been calculated using the MATLAB and the results will be compared with analytical methods. We will also compare different errors between Numerical methods and will come in to conclusion regarding which method is more efficient.

Numerical Methods, Euler, Modified Euler, Runka-Kutta, Differential Equation, comparison.

"Comparisons of Various Numerical Methods on Differential Equation", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.123-125, June 2019, Available :http://www.jetir.org/papers/JETIR1906L16.pdf

"Comparisons of Various Numerical Methods on Differential Equation", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp123-125, June 2019, Available at : http://www.jetir.org/papers/JETIR1906L16.pdf