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Paper Details

Numerical Accuracy of Runge-Kutta Fourth Order Method

R. B. Srivastava*and Vikas Kant Pandey

Journal Title:Journal of Chemical, Biological and physical sciences

Set of ordinary differential equations with boundary conditions has been solved by using Runge-Kutta fourth order method by developing a computer program. Values of y at the points of the interval [0, 1] have been calculated by adopting the stepwise of 0.01 and have been compared with the exact values of y at these points. Minimum, maximum and percentage errors have been calculated for each differential equation. It has been observed that Runge-Kutta fourth order method is 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.