Graduate Which Transform to Use for Solving Thermoelastic PDEs?

Click For Summary
The discussion centers on solving a system of partial differential equations in thermoelasticity using Laplace or Fourier transforms instead of normal mode analysis. The original poster seeks guidance on their approach, indicating they have attempted to apply both transforms but are unsure of the validity of their solution. They express difficulty in finding the inverse transforms and implementing the system in MATLAB. Participants emphasize the importance of experimentation and understanding the transforms before seeking direct solutions. The conversation highlights the need for clarity in applying mathematical techniques to complex problems.
mohammed El-Kady
Messages
32
Reaction score
2
I've a system of partial diff. eqs. in thermo-elasticity, I can solve it using normal mode analysis method but I need to solve it using laplace or Fourier
Untitled.png
 

Attachments

  • Untitled.png
    Untitled.png
    13.5 KB · Views: 1,195
  • Untitled.png
    Untitled.png
    13.5 KB · Views: 1,218
Physics news on Phys.org
You need to try something to see if you are on the right track. We can't just give you the solution.

What do you know about Fourier or Laplace transforms?
 
Sorry I was busy a bit
I put my solution i don't its true or false .. i used the laplace trans. then Fourier tran.
sorry for the line sorry for the camera
if the solution is true I've 2 problems
1- I cannot find the inverse of laplace and fourier
2- I cannot write this system on the matlab
so sorry again
 

Attachments

  • 1.jpg
    1.jpg
    36.3 KB · Views: 552
  • 2.jpg
    2.jpg
    28.2 KB · Views: 514
  • 3.jpg
    3.jpg
    34.1 KB · Views: 725
  • 4.jpg
    4.jpg
    23.6 KB · Views: 523

Similar threads

Graduate Stability analysis for numerical schemes of systems of PDEs
  • · Replies 1 ·
Replies
1
Views
3K
Why is the Heat equation solved with separation of variables but not with Fourier transformations?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Partial differential equation containing the Inverse Laplacian Operator
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Solving a differential equation using Laplace transform
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad PDEs cracked by Artificial Intelligence at Cal Tech
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Solving System of PDEs: Analytical Methods & Solutions
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad Why Lagrange’s method of solving Pp + Qq=R works?
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Can all differential equations be turned into algebraic equations via the FT?
  • · Replies 1 ·
Replies
1
Views
1K
A discussion about Fourier and Laplace transforms and calculus
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Can I Differentiate Both Sides to Solve y in y^2=ln(1-y^2)?
  • · Replies 2 ·
Replies
2
Views
3K