Solving a System of PDE's Using Maple

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SUMMARY

This discussion focuses on solving a coupled system of non-linear partial differential equations (PDEs) using Maple software. The user encountered an error message indicating "too many arguments" when attempting to impose zero boundary conditions on the derivatives of the functions k(x, y) and p(x, y). The issue arises from the incorrect formulation of the pdsolve function in Maple, which requires a specific syntax for boundary conditions. To resolve this, users must ensure that the boundary conditions are correctly formatted and that the functions are properly defined in relation to the PDEs.

PREREQUISITES
  • Familiarity with Maple 2023 syntax for solving PDEs
  • Understanding of non-linear PDEs and their boundary conditions
  • Knowledge of function definitions in the context of PDEs
  • Basic principles of numerical methods for PDEs
NEXT STEPS
  • Review the Maple documentation on the pdsolve function for PDEs
  • Study examples of imposing boundary conditions in Maple
  • Learn about the syntax for defining functions in Maple
  • Explore numerical methods for solving non-linear PDEs
USEFUL FOR

This discussion is beneficial for mathematicians, engineers, and researchers working with non-linear PDEs, particularly those using Maple for computational solutions and boundary condition implementations.

womfalcs3
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I am solving a coupled system of non-linear PDE's.

What am I doing wrong in the procedure? It says, "Error, (in pdsolve/sys) too many arguments; some or all of the following are wrong: [[k(x, y), p(x, y)], {diff(k(x, y), y) = 0, diff(p(x, y), y) = 0}]". I am trying to imposed zero boundary conditions on two y-coordinate locations on the derivative.

Here's what I have:

http://i43.tinypic.com/2a5af79.jpg

I'll link it because it's a rather big picture.

The only reason it's a PDE is because the source term has x in it, so k and p will be functions of x and y.
 
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Hi, I had the same problem.How did you solve it. Thank you very much!
 

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