I present a numerical solution of linear and nonlinear stiff
problems using the RK-Butcher algorithm. The obtained discrete
solutions using the RK-Butcher algorithm are found to be very
accurate and are compared with the exact solutions of the linear
and nonlinear stiff problems and also with the Runge-Kutta method
based on arithmetic mean (RKAM). A topic of stability for the
RK-Butcher algorithm is discussed in detail. Error graphs for
discrete and exact solutions are presented in a graphical form to
show the efficiency of the RK-Butcher algorithm. The results
obtained show that RK-Butcher algorithm is more useful for solving
linear and nonlinear stiff problems and the solution can be
obtained for any length of time