rk1_implicit, a C++ code which solves one or more ordinary differential equations (ODE) using the Runge-Kutta order 1 implicit method, using fsolve() to solve the implicit equation, and using a fixed time step. rk1_implicit() is commonly called the backward Euler method.
Each step requires the solution of an implicit nonlinear equation. A corresponding function has been devised, called fsolve_be(), which carries out the iterative solution process.
The information on this web page is distributed under the MIT license.
rk1_implicit is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
cpp_ode_solver, a C++ code which solves one or more differential equations (ODE) using a method of a particular order, either explicit or implicit. Some methods require a nonlinear equation solver. Some methods used a fixed stepsize, while others adapt the stepsize based on an error estimate.