I am trying to find a harmonic function based on the conditions imposed in the images. I see how one can make an Ansatz that ## \phi(x,y) = xy + \psi(x,y)## and can arrive at the solution given by ensuring the function satisfies the given conditions. But is there a more systematic method to solving these types of questions? In the hint, it says to use ##z^2## and it may be clear that ##z^2 = x^2 + y^2 + 2ixy##, and that the imaginary part recovers a form similar to the boundary conditions, but is there something more general one can do with this hint?(adsbygoogle = window.adsbygoogle || []).push({});

Any suggestions on how to approach problems of this sort?

**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!

# I Find a harmonic function with imposed restrictions

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - Find harmonic function | Date |
---|---|

I Can i find this integral in a simpler way | Jan 14, 2018 |

A Spherical harmonics | Oct 11, 2017 |

I Q about finding area with double/volume with triple integral | Sep 13, 2017 |

I Finding a unit normal to a surface | Sep 13, 2017 |

I Finding value of parameters to fit some data | Sep 11, 2017 |

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