JADEs #20: The 2D Heat Equation
This week's issue explores the popular linear, parabolic two dimensional Heat equation (PDE) with one initial or boundary condition given.
PROBLEM
Definition
Reference
Definition above comes from the following:
Example 1
+ C = u(x,y,t).
Example 2
+ C = u(x,y,t).
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??? Engineer & Manufacturer ?? | Internet Bonding routers to Video Servers | Network equipment production | ISP Independent IP address provider | Customized Packet level Encryption & Security ?? | On-premises Cloud ?
1 年Fascinating! This is an important topic in applied mathematics and engineering and I'm very glad to see that it's getting the recognition it deserves. It's interesting to note that the 2D Heat Equation can be solved using combination of solutions to the 1D Heat Equation. Have any of the readers had experience in applying this to a real-world problem? I'd love to hear your thoughts!
DrHuang.com, UNSW alumni
2 年your solution is too complicated. mathHand.com give a simple one https://server.mathhandbook.com/input/?guess=pdsolve%28ds%28y%2Ct%29%3D5ds%28y%2Cx%2C2%29%2B5ds%28y%2Cv%2C2%29%29&inp=ds%28y%2Ct%29%3D5ds%28y%2Cx%2C2%29%2B5ds%28y%2Cv%2C2%29&lang=null