MATLAB Solve Thermal Equation using Matlab Code - Help Needed | Hello PDE

AI Thread Summary
The discussion centers on solving a complex partial differential equation (PDE) using MATLAB. The equation involves variables related to temperature (T) and includes terms for spatial derivatives in both radial (r) and axial (z) directions, as well as time derivatives. The user seeks guidance on how to approach this problem, particularly in the context of different thermal properties for specified ranges of Δz. A key suggestion is to discretize the time and spatial derivatives to convert the PDE into a system of algebraic equations, which can then be solved numerically. The importance of sharing progress or initial attempts is emphasized to facilitate further assistance.
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Hi i Would like to solve the the following eqn using Matlab

Since I am new to Matlab, I would request u to help me in this regard
(∂^2 T)/〖∂r〗^2 + 1/r (∂T )/∂r+(∂^2 T)/〖∂z〗^2 = 1/α (∂T )/∂t+τ/α (∂^2 T)/〖∂t〗^2 - { (1+δ(t) )-(1+δ(t-tp) }*IoKa/k 〖exp( - 2r/σ^2 〗_^2)exp(-zka)

where δ(t) =76ns

Δz = 0.- 2.5
Δz = 2.5 - 50
Δr = 4

If Δz = 0.- 2.5, I have to use thermal properties of my material

if Δz = 2.5 - 50, I have to use thermal properties of glass.

Could u help me in this regards
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I referred you to the other thread so you could read it, not to post there.

What you need to do is discretize te derivatives of time and space and reduce your pde to a system of algebraic equations that can be solved as shown in the thread mentioned before.

Show us what you've done and then we'll know how to help you.
 

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