So I'm computing a second order Taylor series expansion on a function that has multiple variables. So far I have this(adsbygoogle = window.adsbygoogle || []).push({});

I(x,y,t)=dI/dx(change in x)+dI/dy(change in y)+dI/dt(change in t)+2nd order terms

Would it still be a better approximation than just he first order if I included some second order terms and not others or no? To be more clear I would use something like this :

I(x,y,t)=First Order Terms+Ixx(dx^2)+Iyy(dy^2)

If this is better than just the first order terms, do you have an explanation as to why it is theoretically? Thanks,

Chris

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

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

# Multi-Variable Second Order Taylor Series Expansion, Ignoring SOME second order terms

Loading...

Similar Threads - Multi Variable Second | Date |
---|---|

A Matched Asymptotic Expansion and stretching variables | Dec 11, 2017 |

A Solving a PDE in four variables without separation of variables | Dec 11, 2017 |

I Multi variable differential | Aug 12, 2016 |

Taylor expansion with multi variables | Jan 8, 2016 |

Multi-region Finite Difference- Interface between materials | Apr 30, 2011 |

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