MATLAB Solve Thermal Equation Using Matlab: Guide for Beginners

AI Thread Summary
The discussion revolves around solving a complex partial differential equation (PDE) using MATLAB, specifically for temperature distribution over time and space. The equation includes terms for spatial derivatives in cylindrical coordinates and a time-dependent component influenced by material properties. The user seeks guidance on implementing this in MATLAB, noting specific ranges for the variable z that dictate the use of different thermal properties—one for their material and another for glass. Recommendations include utilizing MATLAB's built-in functions such as the 'solve' function for normal equations and the ODE solver for ordinary differential equations. For PDEs, the Partial Differential Equation Toolbox is suggested as the appropriate tool to facilitate the solution process.
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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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