Rational-Fourier-series Approximations for Periodic Boundary-value Problems
David Wood · IMA Journal of Applied Mathematics · 1984
The method of Galerkin approximations for periodic boundary-value problems is generalized to allow the use of ratios, or other functions of two Fourier series. Two examples are given: of the periodic solution to an impulsively driven linear oscillator, and of families of subharmonic orbits in a forced Duffing problem.