Solution of the Perturbed Harmonic Oscillator by Computer.
NAVAL RESEARCH LAB WASHINGTON D C
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A FORTRAN program has been developed for solving non-linear differential equations of the form dXdXepsilonfXepsilon 0 using Lindstedts method. This method provides a uniformly valid series solution by introducing a transformation in the time variable via a scale factor which is a power series in the small parameter epsilon. Secular terms which cause non-uniformity may be then constrained to disappear. The details of the method are carried out using an algebraic manipulation package. The use of the computer program is discussed and examples are supplied. Author
- Numerical Mathematics
- Computer Programming and Software