Module for wrapping rkf45.py.
Bases: odespy.solvers.Adaptive
Wrapper for rkf45.f, a FORTRAN solver designed to solve non-stiff and mildly stiff differential equations by the well-known Runge-Kutta-Fehlberg (4,5) method.
The FORTRAN source rkf45.f can be obtained from Netlib.
Required input arguments:
| Name | Description |
|---|---|
| f | Right-hand side f(u,t) defining the ODE. |
Optional input arguments:
| Name | Description |
|---|---|
| f_args | Extra positional arguments to f: f(u, t, *f_args, **f_kwargs). (default: ()) |
| f_kwargs | Extra keyword arguments to f: f(u, t, *f_args, **f_kwargs). (default: {}) |
| complex_valued | True if f is complex valued. (default: False) |
| disk_storage | Indicates whether u is stored in memory or in file. If string, it is the filename; if False or “”, u is kept in memory; if True, a default filename tmp_odspy.dat is used. (default: False) |
| verbose | Integer reflecting output of intermediate quantities. (default: 0) |
| u_exact | Function of t returning exact solution. (default: None) |
| rtol | Relative tolerance for solution. (default: 1e-06) |
| atol | Absolute tolerance for solution. (default: 1e-08) |
| f_f77 | Fortran subroutine for f. This subroutine has the signature: subroutine f_f77(neq,t,u,udot)
Cf2py intent(hide) neq
Cf2py intent(out) udot
integer neq
double precision t,u(neq),udot(neq)
udot = ...
return
end
|
Methods
| adjust_parameters() | |
| advance() | |
| check_conditional_parameters() | This function is used to check whether conditional parameters are provided when specified condition fulfilled. |
| check_extra(**kwargs) | A parameter may have a keyword extra_check for user-given functions that performs consistency checks on the parameter. |
| check_input_range(**kwargs) | Check whether all existing inputs are in right specified range. |
| check_input_types(**kwargs) | Check whether all existing inputs are of right specified type. |
| compile_string_functions(f, **kwargs) | Compile functions which are supplied as Fortran strings. |
| constant_time_step() | Check if self.t has a uniform partition. |
| get([parameter_name, print_info]) | Return value of specified input parameters. |
| get_parameter_info([print_info]) | Return a dictionary containing all properties of all legal parameters in current subclass (i.e., the parameters in self._parameters). |
| has_u_t_all() | Return True if self.u_all and self.t_all, defined in |
| initialize() | Import extension module _rkf45 and check that it exists. |
| initialize_for_solve() | |
| set([strict]) | Assign values to one or more parameters, specified as keyword arguments. |
| set_initial_condition(U0) | Function set_initial_condition() is used to set initial value of |
| solve(time_points[, terminate]) | Compute discrete solution u of the ODE problem at time points |
| switch_to(solver_target[, print_info]) | Create a new solver instance which switch to another subclass with same values of common attributes. |
| validate_data() | This function is used for extra checking and validating of attributes before the computations start. |