Hi PF!(adsbygoogle = window.adsbygoogle || []).push({});

Regarding matched asymptotic expansions, given an ODE BVP, I have learned a boundary layer can arise, where we need to stretch the independent variable through carefully selection i.e. if ##x## is the independent variable, perhaps ##\phi = (1-x)/\epsilon : \epsilon \ll 1##.

Would we ever see a situation where we would have to stretch the dependent variable, say the ODE was over ##y(x)##. Something perhaps like ##Y = y/\epsilon : \epsilon \ll 1##, as an example.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A Matched Asymptotic Expansion and stretching variables

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads for Matched Asymptotic Expansion | Date |
---|---|

How to prove asymptotic properties | Aug 11, 2013 |

Asymptotic Expansion of ODE | Jul 8, 2013 |

Matching orientations of 2-d arrays of values - using fft? | Jul 23, 2011 |

Application of perfectly matched layer transformation to second order derivative | Jul 25, 2010 |

Asymptotic matching | Apr 19, 2009 |

**Physics Forums - The Fusion of Science and Community**