Asymptotic solvers for oscillatory systems of differential equations Articles uri icon

publication date

  • January 2011

start page

  • 79

end page

  • 101


  • 53

International Standard Serial Number (ISSN)

  • 1575-9822


  • We describe an asymptotic method for approximating solutions of systems of ODEs with oscillatory forcing terms. The approach is based on asymptotic expansions in inverse powers of the oscillatory parameter ! and on modulated Fourier expansions. We revise some relevant examples, including problems that appear in the modelling of mechanical and electronic systems, and for which the proposed procedure is superior to standard methods.