Matrix Exponentiation and the Frank-Kamenetskii Equation

Table 2

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 𝑘=1 for different values of 𝛿. The tolerance 𝜏=10⁻⁶.

𝛿	LE	BDF	RK4
0.5	0.119555	0.119552	0.119555
1.0	0.294548	0.294539	0.294551
1.5	0.546525	0.546501	0.546541
2.0	1.165950	1.165710	1.166260