Solve Thermal Equation Using Matlab: Guide for Beginners

[psm1]

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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[Wrichik Basu]

For solving a normal equation, you can use solve function.

For ODE, use Matlab's ode solver:
https://in.mathworks.com/help/symbolic/solve-a-single-differential-equation.html
For PDE, use the Partial Differential Equation Toolbox.