Table 1: Table comparing values obtained from the Lawson-Euler (LE) scheme, BDF scheme, and the fourth-order Runge-Kutta (RK4) scheme where , , and for different values of . The tolerance .

LE BDF RK4

0.5 0.449971 0.449957 0.449978
1.0 0.294548 0.294539 0.294551
1.5 0.221880 0.221871 0.221881
2.0 0.178816 0.178810 0.178817