Hello:(adsbygoogle = window.adsbygoogle || []).push({});

I am wondering if there is a general way of splitting the following PDE into two separate equations. I would like to re-write the second-order spatial derivatives on the LHS as first-order derivatives.

[tex]

\[

\frac{{\partial p^2 }}{{\partial x^2 }} + \frac{{\partial p^2 }}{{\partial y^2 }} = A\frac{{\partial ^2 p}}{{\partial t^2 }} + B\frac{{\partial p}}{{\partial t}}

\]

[/tex]

So once the above equation is split, there should be two equations involving only first-order spatial derivatives ([tex]\partial p/\partial x[/tex] and [tex]\partial p/\partial y[/tex]).

**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!

# Splitting PDE into system of PDEs

Loading...

Similar Threads - Splitting system PDEs | Date |
---|---|

Can I split up the left hand side of an ODE? | Sep 24, 2013 |

Splitting a second order PDE into a system of first order PDEs/ODEs | Apr 18, 2009 |

Help in Split step fourier method | Feb 11, 2009 |

Split Step Fourier Method | Feb 4, 2008 |

Laplace splitting fraction | Jan 9, 2008 |

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