Research Article

A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation

Table 7

Comparison of the efficiency among the five fourth-order Rosenbrock methods for example 3.

Method Max. error CPU time (seconds)

HOC-ROSB4 (1/180, 1/40) 0.107
HOC-GRK4A (1/256, 1/40) 0.134
HOC-LSTAB (1/360, 1/40) 0.174
HOC-VELD (1/400, 1/40) 0.188
HOC-SHAMP (1/360, 1/40) 0.170