• Veena Singh

Five ordinary equations with boundary conditions have been solved with the help of Runge-Kutta Fehlbergs method and compared with the exact values. It has been observed that the Runge-Kutta Fehlbergs method is accurate up to 10 digits after the decimal point at some points. Average of maximum errors indicates that Runge-Kutta Fehlbergs method is at least accurate up to two digits after the decimal point. The average of maximum errors and maximum percentage errors has been found to be 0.0011957857183 and 0.0733067638714 respectively.

Runge-Kutta Fehlbergs method, error, average, ordinary differential equation, initial value problem.

"Estimation of Error in Runge-Kutta Fehlbergs Method", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 7, page no.1385-1391, July-2018, Available :http://www.jetir.org/papers/JETIR180Z095.pdf

"Estimation of Error in Runge-Kutta Fehlbergs Method", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 7, page no. pp1385-1391, July-2018, Available at : http://www.jetir.org/papers/JETIR180Z095.pdf