Matrix Exponentiation and the Frank-Kamenetskii Equation

Table 1

Table comparing values obtained from the Lawson-Euler (LE) scheme, BDF scheme, and the fourth-order Runge-Kutta (RK4) scheme where Δ𝑥=0.005, Δ𝑡=0.00001, and 𝛿=1 for different values of 𝑘. The tolerance 𝜏=10⁻⁶.

𝑘	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