Solving Equation with ndsolve: dp/dt, a,b,c,theta

[zahra]

Hi.
How can i solve below equation with ndsolver ?
dp/dt = a * d^2p/dx^2 * cos^2 (theta) + b d^2p/dt^2 + c d^2p /d(theta)^2
where a , b, c are constant. d^2p/dx^2 is second derivative with respect to x. theta is angle.

 

[DrClaude]

Hi zahra, welcome to PF!

p is a function of x, theta, and t, so this is not an ordinary differential equation, but a partial differential equation. NDsove can't be used. Solving PDEs is not trivial.

 

[zahra]

Hi DrClaude .thanks!
Really ? but my master told me that use NDS ! Do we have other way to solve this proplem?