Solving Laplace's Equation with Convode and Initial Conditions

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SUMMARY

This discussion focuses on solving Laplace's equation, specifically U_xx + U_yy = 0, using the Convode PDE engine. The initial conditions specified are U=0 at x=0, U=0 at x=1, U=0 at y=0, and U=x at y=1. Users have expressed challenges in inputting these conditions into Convode, particularly due to language barriers in the feedback provided by the tool. The discussion highlights the need for clear examples of Laplace's equation implementation in Convode.

PREREQUISITES
  • Understanding of Partial Differential Equations (PDEs)
  • Familiarity with Laplace's equation
  • Experience using Convode PDE engine
  • Basic knowledge of boundary conditions in PDEs
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  • Research how to input boundary conditions in Convode for Laplace's equation
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Mathematicians, engineers, and students working with partial differential equations, particularly those interested in using Convode for solving Laplace's equation.

coverband
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Could someone tell me how to enter the following PDE into convode (or some other pde engine - feel free to solve it yourself if you like!).

Its LaPlace's equation

U_xx + U_yy = 0

given U=0 when x=0
U=0 when x=1
U=0 when y=0
U=x when y=1

I've used Convode before but when the initial conditions were U=2 at (x,y)=(2,1) for example...
 
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I did try using convode some time ago. I think there are examples on that website on how to input the commands. But I'm not sure whether they have example on Laplace equation.

One thing that I don't like about convode is that they give you the feedback in French which I don't understand.
 

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