• Veena Singh

Ordinary differential equations with boundary conditions have been solved by using Runge-Kutta fourth order method with the help of a computer program written in C++. At the points 0.01, 0.02, 0.3, …., 1.0 of the interval [0, 1], the values of y have been calculated and compared with the exact values of y at these points. Calculations for minimum error, maximum error, minimum percentage error and maximum percentage error have been done for each differential equation. The Runge-Kutta fourth order method has been found accurate up to seven digits after the decimal point in some cases. In the worst case, it is accurate up to two digits after the decimal point.

Differential equation, Error, Exact value, Euler’s method, Runge-Kutta fourth order method.

"Estimation of Error in Runge-Kutta Fourth Order Method ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 2, page no.1590-1596, February-2018, Available :http://www.jetir.org/papers/JETIR1802301.pdf

"Estimation of Error in Runge-Kutta Fourth Order Method ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 2, page no. pp1590-1596, February-2018, Available at : http://www.jetir.org/papers/JETIR1802301.pdf