Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions
The author constructs effectively a new three stage Runge-Kutta-Nyström methods of order four for \[ {d^2u\over dt^2}= f(t, u(x)) \] provided that the solutions are periodic or oscillating. Stability is analyzed and numerical experiments are carried out.
scientific article; zbMATH DE number 1781881
scientific article