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

In summary, the conversation discussed a problem involving a partial differential equation with multiple variables and constants. The individual was seeking help in solving the equation using ndsolver, but was informed that ndsolver cannot be used for solving PDEs. The person asked for alternative solutions.
  • #1
zahra
2
0
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.
 
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  • #2
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.
 
  • #3
Hi DrClaude .thanks!
Really ? but my master told me that use NDS ! Do we have other way to solve this proplem?
 

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

What is ndsolve and how does it solve equations?

ndsolve is a function in MATLAB that is used to numerically solve differential equations. It uses advanced numerical methods to approximate the solution of a given equation.

How do I use ndsolve to solve an equation with dp/dt, a, b, c, and theta?

To use ndsolve, you will need to define the equation you want to solve in terms of the variables dp/dt, a, b, c, and theta. Then, you can input the equation into the ndsolve function along with the initial conditions and any other parameters that may be needed.

What is the significance of dp/dt, a, b, c, and theta in the equation?

The variables dp/dt, a, b, c, and theta represent different parameters in the equation. dp/dt is the rate of change of the variable p over time, a, b, and c are constants, and theta is a variable that may represent an angle or other parameter.

Can ndsolve be used for any type of differential equation?

Yes, ndsolve can be used for a wide range of differential equations, including ordinary differential equations, partial differential equations, and systems of differential equations. However, it is important to choose the appropriate numerical methods and settings for each specific type of equation.

Are there any limitations to using ndsolve?

While ndsolve is a powerful tool for solving differential equations, it does have some limitations. It may not be able to find an exact solution for some equations, and the accuracy of the numerical solution may depend on the chosen settings and step size. It is important to carefully consider the equation and the desired level of accuracy when using ndsolve.

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