How can I find the convergent rate of my result gotten from Adomian decomposition in comparison with the result from Fouth-Fifth Runge-Kutta Method?

06 June 2017 0 8K Report

I am trying to compare the convergence of Adomian decomposition Method and that of Fouth-Fifth Runge-Kutta method using the results below:

ADM Solution RKF45 Numerical Solution EXACT Solution

t s i r s i r s i r

0.1 0.0769 0.1477 0.1393 0.0763 0.1477 0.1393 0.0763 0.1477 0.1393

0.3 0.1093 0.1120 0.1509 0.1072 0.1121 0.1509 0.1072 0.1121 0.1509

0.5 0.1392 0.0853 0.1558 0.1353 0.0855 0.1558 0.1353 0.0855 0.1558

Table 5. The Table showing comparison between ADM and fourth-fifth-order Runge-Kutta-Fehlberg method (RKF45)

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