PDESOL contains two state-of-the-art ODE integrators which compute solutions in
accordance with a user-specified error tolerance:
(1) RKF45 - implementation of the Runge Kutta (RK) Fehlberg formulas (a fourth-order RK
embedded in a fifth-order RK). The integrator is explicit, and therefore is intended for
(2) LSODES - implementation of backward differentiation formulas (BDFs), with variation of
both the order of the BDF method and the integration time step. The integrator has a
nonstiff option (mf = 10, where "mf" denotes the "method flag") and a
stiff option (mf = 222).
In addition, PDESOL offers a fixed step EULER integrator which is particularly useful for
debugging. A modified EULER routine is also included for use when the step size for the
above integrators is constrained because of a small output interval.
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