How can I solve a partial derivative equation if it does not contain a time derivative in MATLAB?

MATLAB pdepe function requires a time derivative to solve the equation. What should I do if it does not contain a time derivative?

Answer 1

[J. Alex Lee]

If you mean by "no time variable" that your equation is elliptic in more than 1 independent variable, then unfortunately you'll either have to get the PDE toolbox or write your own solver.

[Adrian Oblena]

Thank you. Can you suggest a possible function applicable for a simple 1D Laplace Equation?

(partial derivative of U)^2 / (partial derivative of X)^2 = 0

[J. Alex Lee]

Depends on if you have BCs only at one side (Initial Value Problem) or at both sides (Boundary Value Problem). If IVP, you can use the ode45 (the ode suite, just do doc ode45). If a BVP, you can use bvp4c or bvp5c.