x:undefined,y:undefinedNumerical Methods for solving Differential EquationsRunge-Kutta (red)Heun (green), Euler (blue), function y= eˣ-0.0830.0000.0830.1660.2490.3320.4150.4980.5810.6640.7470.8300.9130.9961.0791.1621.2451.3281.4111.4941.5771.6601.7431.8261.9091.9922.075012345678xyExponential function: Euler (blue), Heun (green), Runge-Kutta (red)x:undefined,y:undefinedRelative DeviationMaximum Error of Runge-Kutta= 7.499e-70.0000.0830.1660.2490.3320.4150.4980.5810.6640.7470.8300.9130.9961.0791.1621.2451.3281.4111.4941.5771.6601.7431.8261.9091.9922.0750.0000.0080.0160.0240.0320.0400.0480.0560.0640.072xyRelative Deviation

Title and author:

Ordinary differential equations:  numerical solution. Comparison of Euler, Heun und Runge−Kutta algorithms
Logo

author image Dieter Roess - WEH- Foundation; Tan Wei Chiong; Loo Kang Wee