Can anyone provide some example about this?
PDE is type of heat equation.
Where have above reference notes?
Many book only gives an example of solving heat equation using fourier transform.
An exercise asks me to solve it for using fourier and laplace transform:
u_xx = u_t -inf < x < +inf, t >0
u(x,o) = x
u(o,t) = 0
In the heat equation, we'd take the fourier transform with respect to x for
each term in the equation. How to combine it with using fourier and laplace transform
Can anyone suggest some example and notes to me??
umum.....the question mention us to use fourier and laplace transform. Is there mention us to use fourier transform with respect to t (t>0) and then inverse fourier transform to solve the solution; Separately, solve the question using laplace transform with respect to x and then inverse laplace transform?
Can there combines two transformation in one??
What is the result compared with two method??
Thanks