New methods for oscillatory problems based on classical codes Original Research Article

The numerical integration of differential equations with oscillatory solutions is a very common problem in many fields of the applied sciences. Some methods have been specially devised for this kind of problem. In most of them, the calculation of the coefficients needs more computational effort than the classical codes because such coefficients depend on the step-size in a not simple manner. On the contrary, in this work we present new algorithms specially designed for perturbed oscillators whose coefficients have a simple dependence on the step-size. The methods obtained are competitive when comparing with classical and special codes.