A Which Transform to Use for Solving Thermoelastic PDEs?

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: 1,181
  • Untitled.png
    Untitled.png
    13.5 KB · Views: 1,194
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: 542
  • 2.jpg
    2.jpg
    28.2 KB · Views: 497
  • 3.jpg
    3.jpg
    34.1 KB · Views: 715
  • 4.jpg
    4.jpg
    23.6 KB · Views: 513
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
View full post »

Similar threads

A Stability analysis for numerical schemes of systems of PDEs
Replies
1
Views
3K
Why is the Heat equation solved with separation of variables but not with Fourier transformations?
Replies
4
Views
3K
A Partial differential equation containing the Inverse Laplacian Operator
Replies
3
Views
3K
I Solving a differential equation using Laplace transform
Replies
5
Views
3K
I PDEs cracked by Artificial Intelligence at Cal Tech
Replies
4
Views
2K
A Solving System of PDEs: Analytical Methods & Solutions
Replies
9
Views
3K
I Why Lagrange’s method of solving Pp + Qq=R works?
Replies
3
Views
589
I Can all differential equations be turned into algebraic equations via the FT?
Replies
1
Views
1K
A discussion about Fourier and Laplace transforms and calculus
Replies
4
Views
3K
I Can I Differentiate Both Sides to Solve y in y^2=ln(1-y^2)?
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top